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Simplifying u + -0.375u + 0.625 = 0.25(u + -2.5) Reorder the terms: 0.625 + u + -0.375u = 0.25(u + -2.5) Combine like terms: u + -0.375u = 0.625u 0.625 + 0.625u = 0.25(u + -2.5) Reorder the terms: 0.625 + 0.625u = 0.25(-2.5 + u) 0.625 + 0.625u = (-2.5 * 0.25 + u * 0.25) 0.625 + 0.625u = (-0.625 + 0.25u) Solving 0.625 + 0.625u = -0.625 + 0.25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-0.25u' to each side of the equation. 0.625 + 0.625u + -0.25u = -0.625 + 0.25u + -0.25u Combine like terms: 0.625u + -0.25u = 0.375u 0.625 + 0.375u = -0.625 + 0.25u + -0.25u Combine like terms: 0.25u + -0.25u = 0.00 0.625 + 0.375u = -0.625 + 0.00 0.625 + 0.375u = -0.625 Add '-0.625' to each side of the equation. 0.625 + -0.625 + 0.375u = -0.625 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.375u = -0.625 + -0.625 0.375u = -0.625 + -0.625 Combine like terms: -0.625 + -0.625 = -1.25 0.375u = -1.25 Divide each side by '0.375'. u = -3.333333333 Simplifying u = -3.333333333
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