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solve for w. -3w + 2 = -10w + 30 simplify your answer as much as possib…

Question

solve for w. -3w + 2 = -10w + 30 simplify your answer as much as possible.

Explanation:

Step1: Isolate w terms to left

Add $10w$ to both sides.
$-3w + 10w + 2 = -10w + 10w + 30$
$7w + 2 = 30$

Step2: Isolate constant terms to right

Subtract 2 from both sides.
$7w + 2 - 2 = 30 - 2$
$7w = 28$

Step3: Solve for w

Divide both sides by 7.
$\frac{7w}{7} = \frac{28}{7}$

Answer:

$w=4$