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Simplifying 15 = -8 + 5(w + 6) Reorder the terms: 15 = -8 + 5(6 + w) 15 = -8 + (6 * 5 + w * 5) 15 = -8 + (30 + 5w) Combine like terms: -8 + 30 = 22 15 = 22 + 5w Solving 15 = 22 + 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. 15 + -5w = 22 + 5w + -5w Combine like terms: 5w + -5w = 0 15 + -5w = 22 + 0 15 + -5w = 22 Add '-15' to each side of the equation. 15 + -15 + -5w = 22 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = 22 + -15 -5w = 22 + -15 Combine like terms: 22 + -15 = 7 -5w = 7 Divide each side by '-5'. w = -1.4 Simplifying w = -1.4
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