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Simplifying 15 + -1(2w + -9) = 2w Reorder the terms: 15 + -1(-9 + 2w) = 2w 15 + (-9 * -1 + 2w * -1) = 2w 15 + (9 + -2w) = 2w Combine like terms: 15 + 9 = 24 24 + -2w = 2w Solving 24 + -2w = 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 = 2w + -2w Combine like terms: -2w + -2w = -4w 24 + -4w = 2w + -2w Combine like terms: 2w + -2w = 0 24 + -4w = 0 Add '-24' to each side of the equation. 24 + -24 + -4w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = 0 + -24 -4w = 0 + -24 Combine like terms: 0 + -24 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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