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Simplifying -3(-5w + 8) + -6w = 3(w + -6) + -3 Reorder the terms: -3(8 + -5w) + -6w = 3(w + -6) + -3 (8 * -3 + -5w * -3) + -6w = 3(w + -6) + -3 (-24 + 15w) + -6w = 3(w + -6) + -3 Combine like terms: 15w + -6w = 9w -24 + 9w = 3(w + -6) + -3 Reorder the terms: -24 + 9w = 3(-6 + w) + -3 -24 + 9w = (-6 * 3 + w * 3) + -3 -24 + 9w = (-18 + 3w) + -3 Reorder the terms: -24 + 9w = -18 + -3 + 3w Combine like terms: -18 + -3 = -21 -24 + 9w = -21 + 3w Solving -24 + 9w = -21 + 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 + 9w + -3w = -21 + 3w + -3w Combine like terms: 9w + -3w = 6w -24 + 6w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -24 + 6w = -21 + 0 -24 + 6w = -21 Add '24' to each side of the equation. -24 + 24 + 6w = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = -21 + 24 6w = -21 + 24 Combine like terms: -21 + 24 = 3 6w = 3 Divide each side by '6'. w = 0.5 Simplifying w = 0.5
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