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Simplifying 9 + -2(7 + -8w) = 11w 9 + (7 * -2 + -8w * -2) = 11w 9 + (-14 + 16w) = 11w Combine like terms: 9 + -14 = -5 -5 + 16w = 11w Solving -5 + 16w = 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. -5 + 16w + -11w = 11w + -11w Combine like terms: 16w + -11w = 5w -5 + 5w = 11w + -11w Combine like terms: 11w + -11w = 0 -5 + 5w = 0 Add '5' to each side of the equation. -5 + 5 + 5w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = 0 + 5 5w = 0 + 5 Combine like terms: 0 + 5 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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