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Simplifying -5(-6w + 3) + -9w = 5(w + -4) + -9 Reorder the terms: -5(3 + -6w) + -9w = 5(w + -4) + -9 (3 * -5 + -6w * -5) + -9w = 5(w + -4) + -9 (-15 + 30w) + -9w = 5(w + -4) + -9 Combine like terms: 30w + -9w = 21w -15 + 21w = 5(w + -4) + -9 Reorder the terms: -15 + 21w = 5(-4 + w) + -9 -15 + 21w = (-4 * 5 + w * 5) + -9 -15 + 21w = (-20 + 5w) + -9 Reorder the terms: -15 + 21w = -20 + -9 + 5w Combine like terms: -20 + -9 = -29 -15 + 21w = -29 + 5w Solving -15 + 21w = -29 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -15 + 21w + -5w = -29 + 5w + -5w Combine like terms: 21w + -5w = 16w -15 + 16w = -29 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 + 16w = -29 + 0 -15 + 16w = -29 Add '15' to each side of the equation. -15 + 15 + 16w = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 16w = -29 + 15 16w = -29 + 15 Combine like terms: -29 + 15 = -14 16w = -14 Divide each side by '16'. w = -0.875 Simplifying w = -0.875
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