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Simplifying 3w + 2 = 14w + -14 Reorder the terms: 2 + 3w = 14w + -14 Reorder the terms: 2 + 3w = -14 + 14w Solving 2 + 3w = -14 + 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. 2 + 3w + -14w = -14 + 14w + -14w Combine like terms: 3w + -14w = -11w 2 + -11w = -14 + 14w + -14w Combine like terms: 14w + -14w = 0 2 + -11w = -14 + 0 2 + -11w = -14 Add '-2' to each side of the equation. 2 + -2 + -11w = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -11w = -14 + -2 -11w = -14 + -2 Combine like terms: -14 + -2 = -16 -11w = -16 Divide each side by '-11'. w = 1.454545455 Simplifying w = 1.454545455
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