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Simplifying 12(15 + -1w) = 3w (15 * 12 + -1w * 12) = 3w (180 + -12w) = 3w Solving 180 + -12w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 180 + -12w + -3w = 3w + -3w Combine like terms: -12w + -3w = -15w 180 + -15w = 3w + -3w Combine like terms: 3w + -3w = 0 180 + -15w = 0 Add '-180' to each side of the equation. 180 + -180 + -15w = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -15w = 0 + -180 -15w = 0 + -180 Combine like terms: 0 + -180 = -180 -15w = -180 Divide each side by '-15'. w = 12 Simplifying w = 12
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