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Simplifying -5(w + -6) = 5w + 40 Reorder the terms: -5(-6 + w) = 5w + 40 (-6 * -5 + w * -5) = 5w + 40 (30 + -5w) = 5w + 40 Reorder the terms: 30 + -5w = 40 + 5w Solving 30 + -5w = 40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 30 + -5w + -5w = 40 + 5w + -5w Combine like terms: -5w + -5w = -10w 30 + -10w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + -10w = 40 + 0 30 + -10w = 40 Add '-30' to each side of the equation. 30 + -30 + -10w = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -10w = 40 + -30 -10w = 40 + -30 Combine like terms: 40 + -30 = 10 -10w = 10 Divide each side by '-10'. w = -1 Simplifying w = -1
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