2k + 10 is an expression. The distributive property is a property of one binary operation (typically multiplication, or right-division) over another (addition or subtraction) for elements of a set (numbers); not a property of expressions.
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-4. -3k+10=k+2.... First we have to move the K to one side -3k+10=k+2 __________ This will reduce -3k to -2k and k+2 to just 2 K -2k+10=2 Now we have to subtract 10 to both sides as to get k alone. -2k+10=2 ________ Now we should have -2k on one side and 2-10 on the other. -10 -2k=2-10....... 2-10= 8. We have to get -2k into just K on itself so we divide by 2. -2k=-8 ______ Your answer is 4. You have to do one side what you do the other. 2
(2k + 3) (2k + 3)
2k + 5
35 + 2k = 9k subtract 2k from each side 35 + 2k - 2k = 9k - 2k 35 = 7k divide both sides integers by 7 35/7 = (7/7)k 5 = k check in original equation 35 + 2(5) = 9(5) 35 + 10 = 45 45 = 45 checks out
2k + 17 = 32k = -14k = -7