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Simplifying 9 + 5w + -14 = 12 + -6w Reorder the terms: 9 + -14 + 5w = 12 + -6w Combine like terms: 9 + -14 = -5 -5 + 5w = 12 + -6w Solving -5 + 5w = 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. -5 + 5w + 6w = 12 + -6w + 6w Combine like terms: 5w + 6w = 11w -5 + 11w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 11w = 12 + 0 -5 + 11w = 12 Add '5' to each side of the equation. -5 + 5 + 11w = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 11w = 12 + 5 11w = 12 + 5 Combine like terms: 12 + 5 = 17 11w = 17 Divide each side by '11'. w = 1.545454545 Simplifying w = 1.545454545
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