You can add and subtract any like terms. Since 8w, -4w, and 4w are all like terms, since 8, -4, and 4 all tell how many w's you have. This is the essentially same as saying "There are 8 apples, subtract 4 apples, and add 4 apples." (Don't forget that 8w-4w is the same as 8w + -4w). To solve, just add 8, subtract 4, and add 4. Leave w alone. The answer is 4w.
2x-3x+1 can be simplified (by combining like terms, or terms with the same number/type of variables) to -x+1. This is not an equation, but an "expression," meaning that there is no equals sign, and you cannot solve for x without an equals sign. If, for instance, that entire expression was equal to 7, -x+1=7 -x = 6 x = -6
To simplify the expression (43 + 7w - 15 - 5w), first combine like terms. Start by combining the constant terms: (43 - 15) which equals (28). Next, combine the (w) terms: (7w - 5w) which equals (2w). Therefore, the simplified expression is (28 + 2w).
To solve the expression (7qt - 3pt + 1pt), first combine like terms. The term (-3pt) and (+1pt) can be combined to yield (-2pt). Thus, the simplified expression becomes (7qt - 2pt).
The expression "-5n + 1 - n" can be simplified by combining like terms. Combining the terms involving ( n ), we get (-5n - n = -6n). Thus, the simplified expression is (-6n + 1).
The expression ( 7a - a - a - a - a ) simplifies by combining like terms. You can group the ( a ) terms together: ( 7a - 4a ), which results in ( 3a ). Therefore, the simplified expression is ( 3a ).
2x-3x+1 can be simplified (by combining like terms, or terms with the same number/type of variables) to -x+1. This is not an equation, but an "expression," meaning that there is no equals sign, and you cannot solve for x without an equals sign. If, for instance, that entire expression was equal to 7, -x+1=7 -x = 6 x = -6
Like Terms and Variables
An expression does not include an equals sign (=) For eg: 2x+3 would not be an equation but an expression However, 2x+3=0, is definitely an equation with a solution x= -3/2. An expression does not have a definite solution. An expression is a set of terms with mathematical operations combining them. An equation consists of two expressions with an equals sign between them. An expression is a collection of terms and does not have an = sign An equation is a collection of terms but has an = sign between them.
6a + 5a = -11 Combining like terms: 11a = -11 Dividing by 11: a = -1
When you have an expression you have to simplify by eliminating all grouping symbols and combining like terms.
To solve the expression (7qt - 3pt + 1pt), first combine like terms. The term (-3pt) and (+1pt) can be combined to yield (-2pt). Thus, the simplified expression becomes (7qt - 2pt).
The expression "-5n + 1 - n" can be simplified by combining like terms. Combining the terms involving ( n ), we get (-5n - n = -6n). Thus, the simplified expression is (-6n + 1).
It is -57k + 324
3b-4-6b-5
The expression: 12+15h-14h+4 can be simplified to 16+h by combining like terms
The expression ( 7a - a - a - a - a ) simplifies by combining like terms. You can group the ( a ) terms together: ( 7a - 4a ), which results in ( 3a ). Therefore, the simplified expression is ( 3a ).
That equals x.