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Simplifying 9(w + -2) = -12(2w + -4) Reorder the terms: 9(-2 + w) = -12(2w + -4) (-2 * 9 + w * 9) = -12(2w + -4) (-18 + 9w) = -12(2w + -4) Reorder the terms: -18 + 9w = -12(-4 + 2w) -18 + 9w = (-4 * -12 + 2w * -12) -18 + 9w = (48 + -24w) Solving -18 + 9w = 48 + -24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24w' to each side of the equation. -18 + 9w + 24w = 48 + -24w + 24w Combine like terms: 9w + 24w = 33w -18 + 33w = 48 + -24w + 24w Combine like terms: -24w + 24w = 0 -18 + 33w = 48 + 0 -18 + 33w = 48 Add '18' to each side of the equation. -18 + 18 + 33w = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 33w = 48 + 18 33w = 48 + 18 Combine like terms: 48 + 18 = 66 33w = 66 Divide each side by '33'. w = 2 Simplifying w = 2
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