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Simplifying -9(w + 3) = 2w + -16 Reorder the terms: -9(3 + w) = 2w + -16 (3 * -9 + w * -9) = 2w + -16 (-27 + -9w) = 2w + -16 Reorder the terms: -27 + -9w = -16 + 2w Solving -27 + -9w = -16 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -27 + -9w + -2w = -16 + 2w + -2w Combine like terms: -9w + -2w = -11w -27 + -11w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -27 + -11w = -16 + 0 -27 + -11w = -16 Add '27' to each side of the equation. -27 + 27 + -11w = -16 + 27 Combine like terms: -27 + 27 = 0 0 + -11w = -16 + 27 -11w = -16 + 27 Combine like terms: -16 + 27 = 11 -11w = 11 Divide each side by '-11'. w = -1 Simplifying w = -1
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