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Simplifying 7w + 3 = (5w + 9) Reorder the terms: 3 + 7w = (5w + 9) Reorder the terms: 3 + 7w = (9 + 5w) Remove parenthesis around (9 + 5w) 3 + 7w = 9 + 5w Solving 3 + 7w = 9 + 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. 3 + 7w + -5w = 9 + 5w + -5w Combine like terms: 7w + -5w = 2w 3 + 2w = 9 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + 2w = 9 + 0 3 + 2w = 9 Add '-3' to each side of the equation. 3 + -3 + 2w = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 9 + -3 2w = 9 + -3 Combine like terms: 9 + -3 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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