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Simplifying 13 + 13w = 8 + 5w Solving 13 + 13w = 8 + 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. 13 + 13w + -5w = 8 + 5w + -5w Combine like terms: 13w + -5w = 8w 13 + 8w = 8 + 5w + -5w Combine like terms: 5w + -5w = 0 13 + 8w = 8 + 0 13 + 8w = 8 Add '-13' to each side of the equation. 13 + -13 + 8w = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 8w = 8 + -13 8w = 8 + -13 Combine like terms: 8 + -13 = -5 8w = -5 Divide each side by '8'. w = -0.625 Simplifying w = -0.625
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