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Simplifying -18 + -20 + 2w = 24w + 160 + -11w Combine like terms: -18 + -20 = -38 -38 + 2w = 24w + 160 + -11w Reorder the terms: -38 + 2w = 160 + 24w + -11w Combine like terms: 24w + -11w = 13w -38 + 2w = 160 + 13w Solving -38 + 2w = 160 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -38 + 2w + -13w = 160 + 13w + -13w Combine like terms: 2w + -13w = -11w -38 + -11w = 160 + 13w + -13w Combine like terms: 13w + -13w = 0 -38 + -11w = 160 + 0 -38 + -11w = 160 Add '38' to each side of the equation. -38 + 38 + -11w = 160 + 38 Combine like terms: -38 + 38 = 0 0 + -11w = 160 + 38 -11w = 160 + 38 Combine like terms: 160 + 38 = 198 -11w = 198 Divide each side by '-11'. w = -18 Simplifying w = -18
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