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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 = -4 8w = -4 Divide each side by '8'. w = -0.5 Simplifying w = -0.5
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