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Simplifying 0.14 + -0.88w = 0.13w + 3.14 Reorder the terms: 0.14 + -0.88w = 3.14 + 0.13w Solving 0.14 + -0.88w = 3.14 + 0.13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.13w' to each side of the equation. 0.14 + -0.88w + -0.13w = 3.14 + 0.13w + -0.13w Combine like terms: -0.88w + -0.13w = -1.01w 0.14 + -1.01w = 3.14 + 0.13w + -0.13w Combine like terms: 0.13w + -0.13w = 0.00 0.14 + -1.01w = 3.14 + 0.00 0.14 + -1.01w = 3.14 Add '-0.14' to each side of the equation. 0.14 + -0.14 + -1.01w = 3.14 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + -1.01w = 3.14 + -0.14 -1.01w = 3.14 + -0.14 Combine like terms: 3.14 + -0.14 = 3 -1.01w = 3 Divide each side by '-1.01'. w = -2.97029703 Simplifying w = -2.97029703
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