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Simplifying 7(w + 7) = 5w + 39 Reorder the terms: 7(7 + w) = 5w + 39 (7 * 7 + w * 7) = 5w + 39 (49 + 7w) = 5w + 39 Reorder the terms: 49 + 7w = 39 + 5w Solving 49 + 7w = 39 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 49 + 7w + -5w = 39 + 5w + -5w Combine like terms: 7w + -5w = 2w 49 + 2w = 39 + 5w + -5w Combine like terms: 5w + -5w = 0 49 + 2w = 39 + 0 49 + 2w = 39 Add '-49' to each side of the equation. 49 + -49 + 2w = 39 + -49 Combine like terms: 49 + -49 = 0 0 + 2w = 39 + -49 2w = 39 + -49 Combine like terms: 39 + -49 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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