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Simplifying 14w + 37 = 27w + -80 Reorder the terms: 37 + 14w = 27w + -80 Reorder the terms: 37 + 14w = -80 + 27w Solving 37 + 14w = -80 + 27w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27w' to each side of the equation. 37 + 14w + -27w = -80 + 27w + -27w Combine like terms: 14w + -27w = -13w 37 + -13w = -80 + 27w + -27w Combine like terms: 27w + -27w = 0 37 + -13w = -80 + 0 37 + -13w = -80 Add '-37' to each side of the equation. 37 + -37 + -13w = -80 + -37 Combine like terms: 37 + -37 = 0 0 + -13w = -80 + -37 -13w = -80 + -37 Combine like terms: -80 + -37 = -117 -13w = -117 Divide each side by '-13'. w = 9 Simplifying w = 9
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