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Simplifying -3(-8w + 9) + -5w = 3(w + -5) + -4 Reorder the terms: -3(9 + -8w) + -5w = 3(w + -5) + -4 (9 * -3 + -8w * -3) + -5w = 3(w + -5) + -4 (-27 + 24w) + -5w = 3(w + -5) + -4 Combine like terms: 24w + -5w = 19w -27 + 19w = 3(w + -5) + -4 Reorder the terms: -27 + 19w = 3(-5 + w) + -4 -27 + 19w = (-5 * 3 + w * 3) + -4 -27 + 19w = (-15 + 3w) + -4 Reorder the terms: -27 + 19w = -15 + -4 + 3w Combine like terms: -15 + -4 = -19 -27 + 19w = -19 + 3w Solving -27 + 19w = -19 + 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. -27 + 19w + -3w = -19 + 3w + -3w Combine like terms: 19w + -3w = 16w -27 + 16w = -19 + 3w + -3w Combine like terms: 3w + -3w = 0 -27 + 16w = -19 + 0 -27 + 16w = -19 Add '27' to each side of the equation. -27 + 27 + 16w = -19 + 27 Combine like terms: -27 + 27 = 0 0 + 16w = -19 + 27 16w = -19 + 27 Combine like terms: -19 + 27 = 8 16w = 8 Divide each side by '16'. w = 0.5 Simplifying w = 0.5
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