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Simplifying 12w + 7 = 3w + 25 Reorder the terms: 7 + 12w = 3w + 25 Reorder the terms: 7 + 12w = 25 + 3w Solving 7 + 12w = 25 + 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. 7 + 12w + -3w = 25 + 3w + -3w Combine like terms: 12w + -3w = 9w 7 + 9w = 25 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 9w = 25 + 0 7 + 9w = 25 Add '-7' to each side of the equation. 7 + -7 + 9w = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 9w = 25 + -7 9w = 25 + -7 Combine like terms: 25 + -7 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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