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Simplifying 15w + -2w + 29 = 5w + -27 Reorder the terms: 29 + 15w + -2w = 5w + -27 Combine like terms: 15w + -2w = 13w 29 + 13w = 5w + -27 Reorder the terms: 29 + 13w = -27 + 5w Solving 29 + 13w = -27 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 29 + 13w + -5w = -27 + 5w + -5w Combine like terms: 13w + -5w = 8w 29 + 8w = -27 + 5w + -5w Combine like terms: 5w + -5w = 0 29 + 8w = -27 + 0 29 + 8w = -27 Add '-29' to each side of the equation. 29 + -29 + 8w = -27 + -29 Combine like terms: 29 + -29 = 0 0 + 8w = -27 + -29 8w = -27 + -29 Combine like terms: -27 + -29 = -56 8w = -56 Divide each side by '8'. w = -7 Simplifying w = -7
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