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Simplifying 39 = 6w + 3(w + 4) Reorder the terms: 39 = 6w + 3(4 + w) 39 = 6w + (4 * 3 + w * 3) 39 = 6w + (12 + 3w) Reorder the terms: 39 = 12 + 6w + 3w Combine like terms: 6w + 3w = 9w 39 = 12 + 9w Solving 39 = 12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 39 + -9w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 39 + -9w = 12 + 0 39 + -9w = 12 Add '-39' to each side of the equation. 39 + -39 + -9w = 12 + -39 Combine like terms: 39 + -39 = 0 0 + -9w = 12 + -39 -9w = 12 + -39 Combine like terms: 12 + -39 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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