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Simplifying 15 = 5(w + -9) Reorder the terms: 15 = 5(-9 + w) 15 = (-9 * 5 + w * 5) 15 = (-45 + 5w) Solving 15 = -45 + 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 = -45 + 5w + -5w Combine like terms: 5w + -5w = 0 15 + -5w = -45 + 0 15 + -5w = -45 Add '-15' to each side of the equation. 15 + -15 + -5w = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = -45 + -15 -5w = -45 + -15 Combine like terms: -45 + -15 = -60 -5w = -60 Divide each side by '-5'. w = 12 Simplifying w = 12
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