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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 = 8w 9 + 8w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 8w = -15 + 0 9 + 8w = -15 Add '-9' to each side of the equation. 9 + -9 + 8w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 8w = -15 + -9 8w = -15 + -9 Combine like terms: -15 + -9 = -24 8w = -24 Divide each side by '8'. w = -3 Simplifying w = -3
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