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Simplifying 9 + 5w + -14x = 12 + -6w Solving 9 + 5w + -14x = 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 + 5w + 6w + -14x = 12 + -6w + 6w Combine like terms: 5w + 6w = 11w 9 + 11w + -14x = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 9 + 11w + -14x = 12 + 0 9 + 11w + -14x = 12 Add '-9' to each side of the equation. 9 + 11w + -9 + -14x = 12 + -9 Reorder the terms: 9 + -9 + 11w + -14x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 11w + -14x = 12 + -9 11w + -14x = 12 + -9 Combine like terms: 12 + -9 = 3 11w + -14x = 3 Add '14x' to each side of the equation. 11w + -14x + 14x = 3 + 14x Combine like terms: -14x + 14x = 0 11w + 0 = 3 + 14x 11w = 3 + 14x Divide each side by '11'. w = 0.2727272727 + 1.272727273x Simplifying w = 0.2727272727 + 1.272727273x
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