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Simplifying -2(-8w + 6) + -5w = 3(w + -5) + -9 Reorder the terms: -2(6 + -8w) + -5w = 3(w + -5) + -9 (6 * -2 + -8w * -2) + -5w = 3(w + -5) + -9 (-12 + 16w) + -5w = 3(w + -5) + -9 Combine like terms: 16w + -5w = 11w -12 + 11w = 3(w + -5) + -9 Reorder the terms: -12 + 11w = 3(-5 + w) + -9 -12 + 11w = (-5 * 3 + w * 3) + -9 -12 + 11w = (-15 + 3w) + -9 Reorder the terms: -12 + 11w = -15 + -9 + 3w Combine like terms: -15 + -9 = -24 -12 + 11w = -24 + 3w Solving -12 + 11w = -24 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -12 + 11w + -3w = -24 + 3w + -3w Combine like terms: 11w + -3w = 8w -12 + 8w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 8w = -24 + 0 -12 + 8w = -24 Add '12' to each side of the equation. -12 + 12 + 8w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = -24 + 12 8w = -24 + 12 Combine like terms: -24 + 12 = -12 8w = -12 Divide each side by '8'. w = -1.5 Simplifying w = -1.5
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