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Simplifying 5(w + 1) = -5w + -15 Reorder the terms: 5(1 + w) = -5w + -15 (1 * 5 + w * 5) = -5w + -15 (5 + 5w) = -5w + -15 Reorder the terms: 5 + 5w = -15 + -5w Solving 5 + 5w = -15 + -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. 5 + 5w + 5w = -15 + -5w + 5w Combine like terms: 5w + 5w = 10w 5 + 10w = -15 + -5w + 5w Combine like terms: -5w + 5w = 0 5 + 10w = -15 + 0 5 + 10w = -15 Add '-5' to each side of the equation. 5 + -5 + 10w = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 10w = -15 + -5 10w = -15 + -5 Combine like terms: -15 + -5 = -20 10w = -20 Divide each side by '10'. w = -2 Simplifying w = -2
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