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Simplifying -39 = -8w + 3(w + -8) Reorder the terms: -39 = -8w + 3(-8 + w) -39 = -8w + (-8 * 3 + w * 3) -39 = -8w + (-24 + 3w) Reorder the terms: -39 = -24 + -8w + 3w Combine like terms: -8w + 3w = -5w -39 = -24 + -5w Solving -39 = -24 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -39 + 5w = -24 + -5w + 5w Combine like terms: -5w + 5w = 0 -39 + 5w = -24 + 0 -39 + 5w = -24 Add '39' to each side of the equation. -39 + 39 + 5w = -24 + 39 Combine like terms: -39 + 39 = 0 0 + 5w = -24 + 39 5w = -24 + 39 Combine like terms: -24 + 39 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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