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Simplifying 5w + 17 = -3(w + 5) Reorder the terms: 17 + 5w = -3(w + 5) Reorder the terms: 17 + 5w = -3(5 + w) 17 + 5w = (5 * -3 + w * -3) 17 + 5w = (-15 + -3w) Solving 17 + 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. 17 + 5w + 3w = -15 + -3w + 3w Combine like terms: 5w + 3w = 8w 17 + 8w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 17 + 8w = -15 + 0 17 + 8w = -15 Add '-17' to each side of the equation. 17 + -17 + 8w = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 8w = -15 + -17 8w = -15 + -17 Combine like terms: -15 + -17 = -32 8w = -32 Divide each side by '8'. w = -4 Simplifying w = -4
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