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Simplifying 7w + 6 = 18 + 5w Reorder the terms: 6 + 7w = 18 + 5w Solving 6 + 7w = 18 + 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. 6 + 7w + -5w = 18 + 5w + -5w Combine like terms: 7w + -5w = 2w 6 + 2w = 18 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + 2w = 18 + 0 6 + 2w = 18 Add '-6' to each side of the equation. 6 + -6 + 2w = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 18 + -6 2w = 18 + -6 Combine like terms: 18 + -6 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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