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Simplifying 3(w + 6) + -1(5w + -6) = -3w Reorder the terms: 3(6 + w) + -1(5w + -6) = -3w (6 * 3 + w * 3) + -1(5w + -6) = -3w (18 + 3w) + -1(5w + -6) = -3w Reorder the terms: 18 + 3w + -1(-6 + 5w) = -3w 18 + 3w + (-6 * -1 + 5w * -1) = -3w 18 + 3w + (6 + -5w) = -3w Reorder the terms: 18 + 6 + 3w + -5w = -3w Combine like terms: 18 + 6 = 24 24 + 3w + -5w = -3w Combine like terms: 3w + -5w = -2w 24 + -2w = -3w Solving 24 + -2w = -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. 24 + -2w + 3w = -3w + 3w Combine like terms: -2w + 3w = 1w 24 + 1w = -3w + 3w Combine like terms: -3w + 3w = 0 24 + 1w = 0 Add '-24' to each side of the equation. 24 + -24 + 1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 0 + -24 1w = 0 + -24 Combine like terms: 0 + -24 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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