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Simplifying 5(12 + -3w) = 15w + 60 (12 * 5 + -3w * 5) = 15w + 60 (60 + -15w) = 15w + 60 Reorder the terms: 60 + -15w = 60 + 15w Add '-60' to each side of the equation. 60 + -60 + -15w = 60 + -60 + 15w Combine like terms: 60 + -60 = 0 0 + -15w = 60 + -60 + 15w -15w = 60 + -60 + 15w Combine like terms: 60 + -60 = 0 -15w = 0 + 15w -15w = 15w Solving -15w = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -15w + -15w = 15w + -15w Combine like terms: -15w + -15w = -30w -30w = 15w + -15w Combine like terms: 15w + -15w = 0 -30w = 0 Divide each side by '-30'. w = 0.0 Simplifying w = 0.0
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