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Simplifying 5w + -15 + -8 = 24w + -27 + -9w Reorder the terms: -15 + -8 + 5w = 24w + -27 + -9w Combine like terms: -15 + -8 = -23 -23 + 5w = 24w + -27 + -9w Reorder the terms: -23 + 5w = -27 + 24w + -9w Combine like terms: 24w + -9w = 15w -23 + 5w = -27 + 15w Solving -23 + 5w = -27 + 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. -23 + 5w + -15w = -27 + 15w + -15w Combine like terms: 5w + -15w = -10w -23 + -10w = -27 + 15w + -15w Combine like terms: 15w + -15w = 0 -23 + -10w = -27 + 0 -23 + -10w = -27 Add '23' to each side of the equation. -23 + 23 + -10w = -27 + 23 Combine like terms: -23 + 23 = 0 0 + -10w = -27 + 23 -10w = -27 + 23 Combine like terms: -27 + 23 = -4 -10w = -4 Divide each side by '-10'. w = 0.4 Simplifying w = 0.4
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