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Simplifying 3 = 7w + -12w + -1 + 14 Reorder the terms: 3 = -1 + 14 + 7w + -12w Combine like terms: -1 + 14 = 13 3 = 13 + 7w + -12w Combine like terms: 7w + -12w = -5w 3 = 13 + -5w Solving 3 = 13 + -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 + 5w = 13 + -5w + 5w Combine like terms: -5w + 5w = 0 3 + 5w = 13 + 0 3 + 5w = 13 Add '-3' to each side of the equation. 3 + -3 + 5w = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 13 + -3 5w = 13 + -3 Combine like terms: 13 + -3 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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