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Simplifying 7w + 2 = 14 + -5w Reorder the terms: 2 + 7w = 14 + -5w Solving 2 + 7w = 14 + -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 + 7w + 5w = 14 + -5w + 5w Combine like terms: 7w + 5w = 12w 2 + 12w = 14 + -5w + 5w Combine like terms: -5w + 5w = 0 2 + 12w = 14 + 0 2 + 12w = 14 Add '-2' to each side of the equation. 2 + -2 + 12w = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 12w = 14 + -2 12w = 14 + -2 Combine like terms: 14 + -2 = 12 12w = 12 Divide each side by '12'. w = 1 Simplifying w = 1
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