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Simplifying 11w + 2(w + 1) = 5w + -6 Reorder the terms: 11w + 2(1 + w) = 5w + -6 11w + (1 * 2 + w * 2) = 5w + -6 11w + (2 + 2w) = 5w + -6 Reorder the terms: 2 + 11w + 2w = 5w + -6 Combine like terms: 11w + 2w = 13w 2 + 13w = 5w + -6 Reorder the terms: 2 + 13w = -6 + 5w Solving 2 + 13w = -6 + 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. 2 + 13w + -5w = -6 + 5w + -5w Combine like terms: 13w + -5w = 8w 2 + 8w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + 8w = -6 + 0 2 + 8w = -6 Add '-2' to each side of the equation. 2 + -2 + 8w = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = -6 + -2 8w = -6 + -2 Combine like terms: -6 + -2 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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