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Simplifying 14 = 12w + -5w Combine like terms: 12w + -5w = 7w 14 = 7w Solving 14 = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 14 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 14 + -7w = 0 Add '-14' to each side of the equation. 14 + -14 + -7w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7w = 0 + -14 -7w = 0 + -14 Combine like terms: 0 + -14 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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