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Simplifying 2.81 + 19.9w = 16.9w + -17.18 + -14.21 Reorder the terms: 2.81 + 19.9w = -17.18 + -14.21 + 16.9w Combine like terms: -17.18 + -14.21 = -31.39 2.81 + 19.9w = -31.39 + 16.9w Solving 2.81 + 19.9w = -31.39 + 16.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16.9w' to each side of the equation. 2.81 + 19.9w + -16.9w = -31.39 + 16.9w + -16.9w Combine like terms: 19.9w + -16.9w = 3w 2.81 + 3w = -31.39 + 16.9w + -16.9w Combine like terms: 16.9w + -16.9w = 0.0 2.81 + 3w = -31.39 + 0.0 2.81 + 3w = -31.39 Add '-2.81' to each side of the equation. 2.81 + -2.81 + 3w = -31.39 + -2.81 Combine like terms: 2.81 + -2.81 = 0.00 0.00 + 3w = -31.39 + -2.81 3w = -31.39 + -2.81 Combine like terms: -31.39 + -2.81 = -34.2 3w = -34.2 Divide each side by '3'. w = -11.4 Simplifying w = -11.4
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