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Simplifying -3w + 9 = -8(w + -3) Reorder the terms: 9 + -3w = -8(w + -3) Reorder the terms: 9 + -3w = -8(-3 + w) 9 + -3w = (-3 * -8 + w * -8) 9 + -3w = (24 + -8w) Solving 9 + -3w = 24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 9 + -3w + 8w = 24 + -8w + 8w Combine like terms: -3w + 8w = 5w 9 + 5w = 24 + -8w + 8w Combine like terms: -8w + 8w = 0 9 + 5w = 24 + 0 9 + 5w = 24 Add '-9' to each side of the equation. 9 + -9 + 5w = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = 24 + -9 5w = 24 + -9 Combine like terms: 24 + -9 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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