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Simplifying 2(12 + -1w) = 9 + 2(w + -17) + 10 (12 * 2 + -1w * 2) = 9 + 2(w + -17) + 10 (24 + -2w) = 9 + 2(w + -17) + 10 Reorder the terms: 24 + -2w = 9 + 2(-17 + w) + 10 24 + -2w = 9 + (-17 * 2 + w * 2) + 10 24 + -2w = 9 + (-34 + 2w) + 10 Reorder the terms: 24 + -2w = 9 + -34 + 10 + 2w Combine like terms: 9 + -34 = -25 24 + -2w = -25 + 10 + 2w Combine like terms: -25 + 10 = -15 24 + -2w = -15 + 2w Solving 24 + -2w = -15 + 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. 24 + -2w + -2w = -15 + 2w + -2w Combine like terms: -2w + -2w = -4w 24 + -4w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -4w = -15 + 0 24 + -4w = -15 Add '-24' to each side of the equation. 24 + -24 + -4w = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = -15 + -24 -4w = -15 + -24 Combine like terms: -15 + -24 = -39 -4w = -39 Divide each side by '-4'. w = 9.75 Simplifying w = 9.75
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