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Simplifying -2(w + 8) = 9w + -38 Reorder the terms: -2(8 + w) = 9w + -38 (8 * -2 + w * -2) = 9w + -38 (-16 + -2w) = 9w + -38 Reorder the terms: -16 + -2w = -38 + 9w Solving -16 + -2w = -38 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -16 + -2w + -9w = -38 + 9w + -9w Combine like terms: -2w + -9w = -11w -16 + -11w = -38 + 9w + -9w Combine like terms: 9w + -9w = 0 -16 + -11w = -38 + 0 -16 + -11w = -38 Add '16' to each side of the equation. -16 + 16 + -11w = -38 + 16 Combine like terms: -16 + 16 = 0 0 + -11w = -38 + 16 -11w = -38 + 16 Combine like terms: -38 + 16 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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