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Simplifying -8(w + -9) = 2w + 12 Reorder the terms: -8(-9 + w) = 2w + 12 (-9 * -8 + w * -8) = 2w + 12 (72 + -8w) = 2w + 12 Reorder the terms: 72 + -8w = 12 + 2w Solving 72 + -8w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 72 + -8w + -2w = 12 + 2w + -2w Combine like terms: -8w + -2w = -10w 72 + -10w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 72 + -10w = 12 + 0 72 + -10w = 12 Add '-72' to each side of the equation. 72 + -72 + -10w = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -10w = 12 + -72 -10w = 12 + -72 Combine like terms: 12 + -72 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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