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Simplifying u + -0.125u + 0.875 = -0.25(u + -0.75) Reorder the terms: 0.875 + u + -0.125u = -0.25(u + -0.75) Combine like terms: u + -0.125u = 0.875u 0.875 + 0.875u = -0.25(u + -0.75) Reorder the terms: 0.875 + 0.875u = -0.25(-0.75 + u) 0.875 + 0.875u = (-0.75 * -0.25 + u * -0.25) 0.875 + 0.875u = (0.1875 + -0.25u) Solving 0.875 + 0.875u = 0.1875 + -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. 0.875 + 0.875u + 0.25u = 0.1875 + -0.25u + 0.25u Combine like terms: 0.875u + 0.25u = 1.125u 0.875 + 1.125u = 0.1875 + -0.25u + 0.25u Combine like terms: -0.25u + 0.25u = 0.00 0.875 + 1.125u = 0.1875 + 0.00 0.875 + 1.125u = 0.1875 Add '-0.875' to each side of the equation. 0.875 + -0.875 + 1.125u = 0.1875 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 1.125u = 0.1875 + -0.875 1.125u = 0.1875 + -0.875 Combine like terms: 0.1875 + -0.875 = -0.6875 1.125u = -0.6875 Divide each side by '1.125'. u = -0.6111111111 Simplifying u = -0.6111111111
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