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Simplifying 9 + 5w + -14w = 12w + -6 Combine like terms: 5w + -14w = -9w 9 + -9w = 12w + -6 Reorder the terms: 9 + -9w = -6 + 12w Solving 9 + -9w = -6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 9 + -9w + -12w = -6 + 12w + -12w Combine like terms: -9w + -12w = -21w 9 + -21w = -6 + 12w + -12w Combine like terms: 12w + -12w = 0 9 + -21w = -6 + 0 9 + -21w = -6 Add '-9' to each side of the equation. 9 + -9 + -21w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -21w = -6 + -9 -21w = -6 + -9 Combine like terms: -6 + -9 = -15 -21w = -15 Divide each side by '-21'. w = 0.7142857143 Simplifying w = 0.7142857143
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