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Simplifying 3(w + 9) = -4(5w + -8) + 8w Reorder the terms: 3(9 + w) = -4(5w + -8) + 8w (9 * 3 + w * 3) = -4(5w + -8) + 8w (27 + 3w) = -4(5w + -8) + 8w Reorder the terms: 27 + 3w = -4(-8 + 5w) + 8w 27 + 3w = (-8 * -4 + 5w * -4) + 8w 27 + 3w = (32 + -20w) + 8w Combine like terms: -20w + 8w = -12w 27 + 3w = 32 + -12w Solving 27 + 3w = 32 + -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. 27 + 3w + 12w = 32 + -12w + 12w Combine like terms: 3w + 12w = 15w 27 + 15w = 32 + -12w + 12w Combine like terms: -12w + 12w = 0 27 + 15w = 32 + 0 27 + 15w = 32 Add '-27' to each side of the equation. 27 + -27 + 15w = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 15w = 32 + -27 15w = 32 + -27 Combine like terms: 32 + -27 = 5 15w = 5 Divide each side by '15'. w = 0.3333333333 Simplifying w = 0.3333333333
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