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Simplifying 11 + 5w = 7 + 13w Solving 11 + 5w = 7 + 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. 11 + 5w + -13w = 7 + 13w + -13w Combine like terms: 5w + -13w = -8w 11 + -8w = 7 + 13w + -13w Combine like terms: 13w + -13w = 0 11 + -8w = 7 + 0 11 + -8w = 7 Add '-11' to each side of the equation. 11 + -11 + -8w = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -8w = 7 + -11 -8w = 7 + -11 Combine like terms: 7 + -11 = -4 -8w = -4 Divide each side by '-8'. w = 0.5 Simplifying w = 0.5
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