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Simplifying -3w + 39 = -5(w + -9) Reorder the terms: 39 + -3w = -5(w + -9) Reorder the terms: 39 + -3w = -5(-9 + w) 39 + -3w = (-9 * -5 + w * -5) 39 + -3w = (45 + -5w) Solving 39 + -3w = 45 + -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 + -3w + 5w = 45 + -5w + 5w Combine like terms: -3w + 5w = 2w 39 + 2w = 45 + -5w + 5w Combine like terms: -5w + 5w = 0 39 + 2w = 45 + 0 39 + 2w = 45 Add '-39' to each side of the equation. 39 + -39 + 2w = 45 + -39 Combine like terms: 39 + -39 = 0 0 + 2w = 45 + -39 2w = 45 + -39 Combine like terms: 45 + -39 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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