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Simplifying -9 = 3w + 8(w + 3) Reorder the terms: -9 = 3w + 8(3 + w) -9 = 3w + (3 * 8 + w * 8) -9 = 3w + (24 + 8w) Reorder the terms: -9 = 24 + 3w + 8w Combine like terms: 3w + 8w = 11w -9 = 24 + 11w Solving -9 = 24 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -9 + -11w = 24 + 11w + -11w Combine like terms: 11w + -11w = 0 -9 + -11w = 24 + 0 -9 + -11w = 24 Add '9' to each side of the equation. -9 + 9 + -11w = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11w = 24 + 9 -11w = 24 + 9 Combine like terms: 24 + 9 = 33 -11w = 33 Divide each side by '-11'. w = -3 Simplifying w = -3
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