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Simplifying 39 = 5(w + 6) + -2w Reorder the terms: 39 = 5(6 + w) + -2w 39 = (6 * 5 + w * 5) + -2w 39 = (30 + 5w) + -2w Combine like terms: 5w + -2w = 3w 39 = 30 + 3w Solving 39 = 30 + 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 + -3w = 30 + 3w + -3w Combine like terms: 3w + -3w = 0 39 + -3w = 30 + 0 39 + -3w = 30 Add '-39' to each side of the equation. 39 + -39 + -3w = 30 + -39 Combine like terms: 39 + -39 = 0 0 + -3w = 30 + -39 -3w = 30 + -39 Combine like terms: 30 + -39 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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