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Simplifying 6 + 17w = 15 + 14w Solving 6 + 17w = 15 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 6 + 17w + -14w = 15 + 14w + -14w Combine like terms: 17w + -14w = 3w 6 + 3w = 15 + 14w + -14w Combine like terms: 14w + -14w = 0 6 + 3w = 15 + 0 6 + 3w = 15 Add '-6' to each side of the equation. 6 + -6 + 3w = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = 15 + -6 3w = 15 + -6 Combine like terms: 15 + -6 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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