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Simplifying 39 = -6w + 3(w + 3) Reorder the terms: 39 = -6w + 3(3 + w) 39 = -6w + (3 * 3 + w * 3) 39 = -6w + (9 + 3w) Reorder the terms: 39 = 9 + -6w + 3w Combine like terms: -6w + 3w = -3w 39 = 9 + -3w Solving 39 = 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 + 3w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 39 + 3w = 9 + 0 39 + 3w = 9 Add '-39' to each side of the equation. 39 + -39 + 3w = 9 + -39 Combine like terms: 39 + -39 = 0 0 + 3w = 9 + -39 3w = 9 + -39 Combine like terms: 9 + -39 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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