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Simplifying 3(w + 5) = -2(8w + -5) + 4w Reorder the terms: 3(5 + w) = -2(8w + -5) + 4w (5 * 3 + w * 3) = -2(8w + -5) + 4w (15 + 3w) = -2(8w + -5) + 4w Reorder the terms: 15 + 3w = -2(-5 + 8w) + 4w 15 + 3w = (-5 * -2 + 8w * -2) + 4w 15 + 3w = (10 + -16w) + 4w Combine like terms: -16w + 4w = -12w 15 + 3w = 10 + -12w Solving 15 + 3w = 10 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 15 + 3w + 12w = 10 + -12w + 12w Combine like terms: 3w + 12w = 15w 15 + 15w = 10 + -12w + 12w Combine like terms: -12w + 12w = 0 15 + 15w = 10 + 0 15 + 15w = 10 Add '-15' to each side of the equation. 15 + -15 + 15w = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 15w = 10 + -15 15w = 10 + -15 Combine like terms: 10 + -15 = -5 15w = -5 Divide each side by '15'. w = -0.3333333333 Simplifying w = -0.3333333333
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