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Simplifying -6w + 3(w + 5) = 24 Reorder the terms: -6w + 3(5 + w) = 24 -6w + (5 * 3 + w * 3) = 24 -6w + (15 + 3w) = 24 Reorder the terms: 15 + -6w + 3w = 24 Combine like terms: -6w + 3w = -3w 15 + -3w = 24 Solving 15 + -3w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3w = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = 24 + -15 -3w = 24 + -15 Combine like terms: 24 + -15 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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