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Simplifying 3(w + 3) = 9 + -4(5 + -2w) Reorder the terms: 3(3 + w) = 9 + -4(5 + -2w) (3 * 3 + w * 3) = 9 + -4(5 + -2w) (9 + 3w) = 9 + -4(5 + -2w) 9 + 3w = 9 + (5 * -4 + -2w * -4) 9 + 3w = 9 + (-20 + 8w) Combine like terms: 9 + -20 = -11 9 + 3w = -11 + 8w Solving 9 + 3w = -11 + 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 = -11 + 8w + -8w Combine like terms: 3w + -8w = -5w 9 + -5w = -11 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -5w = -11 + 0 9 + -5w = -11 Add '-9' to each side of the equation. 9 + -9 + -5w = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = -11 + -9 -5w = -11 + -9 Combine like terms: -11 + -9 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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