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Simplifying 3(w + -6) + -8 = -4(-4w + 2) + -5w Reorder the terms: 3(-6 + w) + -8 = -4(-4w + 2) + -5w (-6 * 3 + w * 3) + -8 = -4(-4w + 2) + -5w (-18 + 3w) + -8 = -4(-4w + 2) + -5w Reorder the terms: -18 + -8 + 3w = -4(-4w + 2) + -5w Combine like terms: -18 + -8 = -26 -26 + 3w = -4(-4w + 2) + -5w Reorder the terms: -26 + 3w = -4(2 + -4w) + -5w -26 + 3w = (2 * -4 + -4w * -4) + -5w -26 + 3w = (-8 + 16w) + -5w Combine like terms: 16w + -5w = 11w -26 + 3w = -8 + 11w Solving -26 + 3w = -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. -26 + 3w + -11w = -8 + 11w + -11w Combine like terms: 3w + -11w = -8w -26 + -8w = -8 + 11w + -11w Combine like terms: 11w + -11w = 0 -26 + -8w = -8 + 0 -26 + -8w = -8 Add '26' to each side of the equation. -26 + 26 + -8w = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -8w = -8 + 26 -8w = -8 + 26 Combine like terms: -8 + 26 = 18 -8w = 18 Divide each side by '-8'. w = -2.25 Simplifying w = -2.25
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