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Simplifying 9 + 5w + -14w = 12 + -6w Combine like terms: 5w + -14w = -9w 9 + -9w = 12 + -6w Solving 9 + -9w = 12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 9 + -9w + 6w = 12 + -6w + 6w Combine like terms: -9w + 6w = -3w 9 + -3w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 9 + -3w = 12 + 0 9 + -3w = 12 Add '-9' to each side of the equation. 9 + -9 + -3w = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 12 + -9 -3w = 12 + -9 Combine like terms: 12 + -9 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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