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Simplifying 39 = 24 + -5(2 + -2w) 39 = 24 + (2 * -5 + -2w * -5) 39 = 24 + (-10 + 10w) Combine like terms: 24 + -10 = 14 39 = 14 + 10w Solving 39 = 14 + 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. 39 + -10w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 39 + -10w = 14 + 0 39 + -10w = 14 Add '-39' to each side of the equation. 39 + -39 + -10w = 14 + -39 Combine like terms: 39 + -39 = 0 0 + -10w = 14 + -39 -10w = 14 + -39 Combine like terms: 14 + -39 = -25 -10w = -25 Divide each side by '-10'. w = 2.5 Simplifying w = 2.5
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