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Simplifying -39 = 7(w + 3) + 5w Reorder the terms: -39 = 7(3 + w) + 5w -39 = (3 * 7 + w * 7) + 5w -39 = (21 + 7w) + 5w Combine like terms: 7w + 5w = 12w -39 = 21 + 12w Solving -39 = 21 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -39 + -12w = 21 + 12w + -12w Combine like terms: 12w + -12w = 0 -39 + -12w = 21 + 0 -39 + -12w = 21 Add '39' to each side of the equation. -39 + 39 + -12w = 21 + 39 Combine like terms: -39 + 39 = 0 0 + -12w = 21 + 39 -12w = 21 + 39 Combine like terms: 21 + 39 = 60 -12w = 60 Divide each side by '-12'. w = -5 Simplifying w = -5
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