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Simplifying 9 + 2(2w + -3) = -2(8w + -4) + 5w Reorder the terms: 9 + 2(-3 + 2w) = -2(8w + -4) + 5w 9 + (-3 * 2 + 2w * 2) = -2(8w + -4) + 5w 9 + (-6 + 4w) = -2(8w + -4) + 5w Combine like terms: 9 + -6 = 3 3 + 4w = -2(8w + -4) + 5w Reorder the terms: 3 + 4w = -2(-4 + 8w) + 5w 3 + 4w = (-4 * -2 + 8w * -2) + 5w 3 + 4w = (8 + -16w) + 5w Combine like terms: -16w + 5w = -11w 3 + 4w = 8 + -11w Solving 3 + 4w = 8 + -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. 3 + 4w + 11w = 8 + -11w + 11w Combine like terms: 4w + 11w = 15w 3 + 15w = 8 + -11w + 11w Combine like terms: -11w + 11w = 0 3 + 15w = 8 + 0 3 + 15w = 8 Add '-3' to each side of the equation. 3 + -3 + 15w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 15w = 8 + -3 15w = 8 + -3 Combine like terms: 8 + -3 = 5 15w = 5 Divide each side by '15'. w = 0.3333333333 Simplifying w = 0.3333333333
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