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Simplifying -5(-6w + 4) + -9w = 5(w + -2) + -6 Reorder the terms: -5(4 + -6w) + -9w = 5(w + -2) + -6 (4 * -5 + -6w * -5) + -9w = 5(w + -2) + -6 (-20 + 30w) + -9w = 5(w + -2) + -6 Combine like terms: 30w + -9w = 21w -20 + 21w = 5(w + -2) + -6 Reorder the terms: -20 + 21w = 5(-2 + w) + -6 -20 + 21w = (-2 * 5 + w * 5) + -6 -20 + 21w = (-10 + 5w) + -6 Reorder the terms: -20 + 21w = -10 + -6 + 5w Combine like terms: -10 + -6 = -16 -20 + 21w = -16 + 5w Solving -20 + 21w = -16 + 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. -20 + 21w + -5w = -16 + 5w + -5w Combine like terms: 21w + -5w = 16w -20 + 16w = -16 + 5w + -5w Combine like terms: 5w + -5w = 0 -20 + 16w = -16 + 0 -20 + 16w = -16 Add '20' to each side of the equation. -20 + 20 + 16w = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 16w = -16 + 20 16w = -16 + 20 Combine like terms: -16 + 20 = 4 16w = 4 Divide each side by '16'. w = 0.25 Simplifying w = 0.25
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