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Simplifying 9w + 39 = 3(w + 3) Reorder the terms: 39 + 9w = 3(w + 3) Reorder the terms: 39 + 9w = 3(3 + w) 39 + 9w = (3 * 3 + w * 3) 39 + 9w = (9 + 3w) Solving 39 + 9w = 9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 39 + 9w + -3w = 9 + 3w + -3w Combine like terms: 9w + -3w = 6w 39 + 6w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 39 + 6w = 9 + 0 39 + 6w = 9 Add '-39' to each side of the equation. 39 + -39 + 6w = 9 + -39 Combine like terms: 39 + -39 = 0 0 + 6w = 9 + -39 6w = 9 + -39 Combine like terms: 9 + -39 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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