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Simplifying -5(w + -2) = 5w + 40 Reorder the terms: -5(-2 + w) = 5w + 40 (-2 * -5 + w * -5) = 5w + 40 (10 + -5w) = 5w + 40 Reorder the terms: 10 + -5w = 40 + 5w Solving 10 + -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. 10 + -5w + -5w = 40 + 5w + -5w Combine like terms: -5w + -5w = -10w 10 + -10w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -10w = 40 + 0 10 + -10w = 40 Add '-10' to each side of the equation. 10 + -10 + -10w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -10w = 40 + -10 -10w = 40 + -10 Combine like terms: 40 + -10 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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