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Simplifying -2(w + 1) + -1(8w + -2) = -11w Reorder the terms: -2(1 + w) + -1(8w + -2) = -11w (1 * -2 + w * -2) + -1(8w + -2) = -11w (-2 + -2w) + -1(8w + -2) = -11w Reorder the terms: -2 + -2w + -1(-2 + 8w) = -11w -2 + -2w + (-2 * -1 + 8w * -1) = -11w -2 + -2w + (2 + -8w) = -11w Reorder the terms: -2 + 2 + -2w + -8w = -11w Combine like terms: -2 + 2 = 0 0 + -2w + -8w = -11w -2w + -8w = -11w Combine like terms: -2w + -8w = -10w -10w = -11w Solving -10w = -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -10w + 11w = -11w + 11w Combine like terms: -10w + 11w = 1w 1w = -11w + 11w Combine like terms: -11w + 11w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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