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Simplifying 5(w + 8) = -5(3w + -9) + 5w Reorder the terms: 5(8 + w) = -5(3w + -9) + 5w (8 * 5 + w * 5) = -5(3w + -9) + 5w (40 + 5w) = -5(3w + -9) + 5w Reorder the terms: 40 + 5w = -5(-9 + 3w) + 5w 40 + 5w = (-9 * -5 + 3w * -5) + 5w 40 + 5w = (45 + -15w) + 5w Combine like terms: -15w + 5w = -10w 40 + 5w = 45 + -10w Solving 40 + 5w = 45 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 40 + 5w + 10w = 45 + -10w + 10w Combine like terms: 5w + 10w = 15w 40 + 15w = 45 + -10w + 10w Combine like terms: -10w + 10w = 0 40 + 15w = 45 + 0 40 + 15w = 45 Add '-40' to each side of the equation. 40 + -40 + 15w = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 15w = 45 + -40 15w = 45 + -40 Combine like terms: 45 + -40 = 5 15w = 5 Divide each side by '15'. w = 0.3333333333 Simplifying w = 0.3333333333
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