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Simplifying 4(w + 5) = -2(5w + -9) + 6w Reorder the terms: 4(5 + w) = -2(5w + -9) + 6w (5 * 4 + w * 4) = -2(5w + -9) + 6w (20 + 4w) = -2(5w + -9) + 6w Reorder the terms: 20 + 4w = -2(-9 + 5w) + 6w 20 + 4w = (-9 * -2 + 5w * -2) + 6w 20 + 4w = (18 + -10w) + 6w Combine like terms: -10w + 6w = -4w 20 + 4w = 18 + -4w Solving 20 + 4w = 18 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 20 + 4w + 4w = 18 + -4w + 4w Combine like terms: 4w + 4w = 8w 20 + 8w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 20 + 8w = 18 + 0 20 + 8w = 18 Add '-20' to each side of the equation. 20 + -20 + 8w = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 8w = 18 + -20 8w = 18 + -20 Combine like terms: 18 + -20 = -2 8w = -2 Divide each side by '8'. w = -0.25 Simplifying w = -0.25
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