The equation can be rewritten as: (in Math, it is advised that the order of terms be arranged. In this equation, the term 7b comes before constant 9 which is the correct arrangement.)
7b - 9 = 8b - 7
To solve, transpose 8b to the left and 9 to the right so the equation becomes:
7b -8b = 9 - 7
-b = 2
multiply both sides by -1 (to balance the equation) to make b positive:
-1(-b) = -1(2)
B= -2
To check:
7b - 9 = 8b - 7
7(-2) - 9 = 8(-2) - 7
-14 -9 = -16 -7
-23 = -23
The answers in both sides of the equation is equal therefore, YOU have derived to a CORRECT answer...
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6a + (7b - 4a - 8b) = (6a - 4a) + (7b - 8b) = 2a - b
4b plus 7b plus 5 will equal 11b plus 5. When you have two variables that are the same you can add the two numbers with the variables remaining the same.
7b + 16 = 5b + 247b - 5b = 24 - 162b = 8b = 4
11a+7b-(3b-2a)