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Simplifying 7w + 6 + -2w = 16 + 3w + 18 Reorder the terms: 6 + 7w + -2w = 16 + 3w + 18 Combine like terms: 7w + -2w = 5w 6 + 5w = 16 + 3w + 18 Reorder the terms: 6 + 5w = 16 + 18 + 3w Combine like terms: 16 + 18 = 34 6 + 5w = 34 + 3w Solving 6 + 5w = 34 + 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. 6 + 5w + -3w = 34 + 3w + -3w Combine like terms: 5w + -3w = 2w 6 + 2w = 34 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + 2w = 34 + 0 6 + 2w = 34 Add '-6' to each side of the equation. 6 + -6 + 2w = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 34 + -6 2w = 34 + -6 Combine like terms: 34 + -6 = 28 2w = 28 Divide each side by '2'. w = 14 Simplifying w = 14
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