Question

what is the solution to the equation $7w - 2(w - 9) = 4 - 8(w + 2)$?
a. $w = -\frac{11}{3}$
b. $w = -\frac{2}{3}$
c. $w = -\frac{30}{13}$
d. $w = \frac{38}{13}$

Explanation:

Step1: Expand all parentheses

$7w - 2w + 18 = 4 - 8w - 16$

Step2: Combine like terms on both sides

$5w + 18 = -8w - 12$

Step3: Move w terms to left side

$5w + 8w + 18 = -12$
$13w + 18 = -12$

Step4: Move constants to right side

$13w = -12 - 18$
$13w = -30$

Step5: Solve for w

$w = \frac{-30}{13}$

Answer:

C. $W=-\frac{30}{13}$