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Simplifying 5(w + -4) + -8 = -6(-4w + 5) + -9w Reorder the terms: 5(-4 + w) + -8 = -6(-4w + 5) + -9w (-4 * 5 + w * 5) + -8 = -6(-4w + 5) + -9w (-20 + 5w) + -8 = -6(-4w + 5) + -9w Reorder the terms: -20 + -8 + 5w = -6(-4w + 5) + -9w Combine like terms: -20 + -8 = -28 -28 + 5w = -6(-4w + 5) + -9w Reorder the terms: -28 + 5w = -6(5 + -4w) + -9w -28 + 5w = (5 * -6 + -4w * -6) + -9w -28 + 5w = (-30 + 24w) + -9w Combine like terms: 24w + -9w = 15w -28 + 5w = -30 + 15w Solving -28 + 5w = -30 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -28 + 5w + -15w = -30 + 15w + -15w Combine like terms: 5w + -15w = -10w -28 + -10w = -30 + 15w + -15w Combine like terms: 15w + -15w = 0 -28 + -10w = -30 + 0 -28 + -10w = -30 Add '28' to each side of the equation. -28 + 28 + -10w = -30 + 28 Combine like terms: -28 + 28 = 0 0 + -10w = -30 + 28 -10w = -30 + 28 Combine like terms: -30 + 28 = -2 -10w = -2 Divide each side by '-10'. w = 0.2 Simplifying w = 0.2
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