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Simplifying 18.7w + 16.57 + -14w = 11.82 + -4.8w Reorder the terms: 16.57 + 18.7w + -14w = 11.82 + -4.8w Combine like terms: 18.7w + -14w = 4.7w 16.57 + 4.7w = 11.82 + -4.8w Solving 16.57 + 4.7w = 11.82 + -4.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.8w' to each side of the equation. 16.57 + 4.7w + 4.8w = 11.82 + -4.8w + 4.8w Combine like terms: 4.7w + 4.8w = 9.5w 16.57 + 9.5w = 11.82 + -4.8w + 4.8w Combine like terms: -4.8w + 4.8w = 0.0 16.57 + 9.5w = 11.82 + 0.0 16.57 + 9.5w = 11.82 Add '-16.57' to each side of the equation. 16.57 + -16.57 + 9.5w = 11.82 + -16.57 Combine like terms: 16.57 + -16.57 = 0.00 0.00 + 9.5w = 11.82 + -16.57 9.5w = 11.82 + -16.57 Combine like terms: 11.82 + -16.57 = -4.75 9.5w = -4.75 Divide each side by '9.5'. w = -0.5 Simplifying w = -0.5
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