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Simplifying 5w + 9 = 3(w + -5) Reorder the terms: 9 + 5w = 3(w + -5) Reorder the terms: 9 + 5w = 3(-5 + w) 9 + 5w = (-5 * 3 + w * 3) 9 + 5w = (-15 + 3w) Solving 9 + 5w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 5w + -3w = -15 + 3w + -3w Combine like terms: 5w + -3w = 2w 9 + 2w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 2w = -15 + 0 9 + 2w = -15 Add '-9' to each side of the equation. 9 + -9 + 2w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = -15 + -9 2w = -15 + -9 Combine like terms: -15 + -9 = -24 2w = -24 Divide each side by '2'. w = -12 Simplifying w = -12
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