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Simplifying -15 = 5w + 5(w + 3) Reorder the terms: -15 = 5w + 5(3 + w) -15 = 5w + (3 * 5 + w * 5) -15 = 5w + (15 + 5w) Reorder the terms: -15 = 15 + 5w + 5w Combine like terms: 5w + 5w = 10w -15 = 15 + 10w Solving -15 = 15 + 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 + -10w = 15 + 10w + -10w Combine like terms: 10w + -10w = 0 -15 + -10w = 15 + 0 -15 + -10w = 15 Add '15' to each side of the equation. -15 + 15 + -10w = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -10w = 15 + 15 -10w = 15 + 15 Combine like terms: 15 + 15 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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