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Simplifying 3w + 2 = 18 + -5w Reorder the terms: 2 + 3w = 18 + -5w Solving 2 + 3w = 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. 2 + 3w + 5w = 18 + -5w + 5w Combine like terms: 3w + 5w = 8w 2 + 8w = 18 + -5w + 5w Combine like terms: -5w + 5w = 0 2 + 8w = 18 + 0 2 + 8w = 18 Add '-2' to each side of the equation. 2 + -2 + 8w = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = 18 + -2 8w = 18 + -2 Combine like terms: 18 + -2 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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