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Simplifying 43 = 7w + -15w + -5w Combine like terms: 7w + -15w = -8w 43 = -8w + -5w Combine like terms: -8w + -5w = -13w 43 = -13w Solving 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. 43 + 13w = -13w + 13w Combine like terms: -13w + 13w = 0 43 + 13w = 0 Add '-43' to each side of the equation. 43 + -43 + 13w = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 13w = 0 + -43 13w = 0 + -43 Combine like terms: 0 + -43 = -43 13w = -43 Divide each side by '13'. w = -3.307692308 Simplifying w = -3.307692308
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