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Simplifying 4(w + 6) = -2(8w + -5) + 8w Reorder the terms: 4(6 + w) = -2(8w + -5) + 8w (6 * 4 + w * 4) = -2(8w + -5) + 8w (24 + 4w) = -2(8w + -5) + 8w Reorder the terms: 24 + 4w = -2(-5 + 8w) + 8w 24 + 4w = (-5 * -2 + 8w * -2) + 8w 24 + 4w = (10 + -16w) + 8w Combine like terms: -16w + 8w = -8w 24 + 4w = 10 + -8w Solving 24 + 4w = 10 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 24 + 4w + 8w = 10 + -8w + 8w Combine like terms: 4w + 8w = 12w 24 + 12w = 10 + -8w + 8w Combine like terms: -8w + 8w = 0 24 + 12w = 10 + 0 24 + 12w = 10 Add '-24' to each side of the equation. 24 + -24 + 12w = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = 10 + -24 12w = 10 + -24 Combine like terms: 10 + -24 = -14 12w = -14 Divide each side by '12'. w = -1.166666667 Simplifying w = -1.166666667
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