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Simplifying -3(w + 9) = 8w + -49 Reorder the terms: -3(9 + w) = 8w + -49 (9 * -3 + w * -3) = 8w + -49 (-27 + -3w) = 8w + -49 Reorder the terms: -27 + -3w = -49 + 8w Solving -27 + -3w = -49 + 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. -27 + -3w + -8w = -49 + 8w + -8w Combine like terms: -3w + -8w = -11w -27 + -11w = -49 + 8w + -8w Combine like terms: 8w + -8w = 0 -27 + -11w = -49 + 0 -27 + -11w = -49 Add '27' to each side of the equation. -27 + 27 + -11w = -49 + 27 Combine like terms: -27 + 27 = 0 0 + -11w = -49 + 27 -11w = -49 + 27 Combine like terms: -49 + 27 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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