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Simplifying 25 = 12w + -7w Combine like terms: 12w + -7w = 5w 25 = 5w Solving 25 = 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. 25 + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 25 + -5w = 0 Add '-25' to each side of the equation. 25 + -25 + -5w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5w = 0 + -25 -5w = 0 + -25 Combine like terms: 0 + -25 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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