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Simplifying 2w + 89 = 13w + -43 Reorder the terms: 89 + 2w = 13w + -43 Reorder the terms: 89 + 2w = -43 + 13w Solving 89 + 2w = -43 + 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. 89 + 2w + -13w = -43 + 13w + -13w Combine like terms: 2w + -13w = -11w 89 + -11w = -43 + 13w + -13w Combine like terms: 13w + -13w = 0 89 + -11w = -43 + 0 89 + -11w = -43 Add '-89' to each side of the equation. 89 + -89 + -11w = -43 + -89 Combine like terms: 89 + -89 = 0 0 + -11w = -43 + -89 -11w = -43 + -89 Combine like terms: -43 + -89 = -132 -11w = -132 Divide each side by '-11'. w = 12 Simplifying w = 12
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