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Simplifying 5(w + 3) = -10w Reorder the terms: 5(3 + w) = -10w (3 * 5 + w * 5) = -10w (15 + 5w) = -10w Solving 15 + 5w = -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 15 + 5w + 10w = -10w + 10w Combine like terms: 5w + 10w = 15w 15 + 15w = -10w + 10w Combine like terms: -10w + 10w = 0 15 + 15w = 0 Add '-15' to each side of the equation. 15 + -15 + 15w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 15w = 0 + -15 15w = 0 + -15 Combine like terms: 0 + -15 = -15 15w = -15 Divide each side by '15'. w = -1 Simplifying w = -1
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