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Simplifying 0.13925 = Ru + (Ru + -0.07) * 0.75 Reorder the terms: 0.13925 = uR + (-0.07 + uR) * 0.75 Reorder the terms for easier multiplication: 0.13925 = uR + 0.75(-0.07 + uR) 0.13925 = uR + (-0.07 * 0.75 + uR * 0.75) 0.13925 = uR + (-0.0525 + 0.75uR) Reorder the terms: 0.13925 = -0.0525 + uR + 0.75uR Combine like terms: uR + 0.75uR = 1.75uR 0.13925 = -0.0525 + 1.75uR Solving 0.13925 = -0.0525 + 1.75uR Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1.75uR' to each side of the equation. 0.13925 + -1.75uR = -0.0525 + 1.75uR + -1.75uR Combine like terms: 1.75uR + -1.75uR = 0.00 0.13925 + -1.75uR = -0.0525 + 0.00 0.13925 + -1.75uR = -0.0525 Add '-0.13925' to each side of the equation. 0.13925 + -0.13925 + -1.75uR = -0.0525 + -0.13925 Combine like terms: 0.13925 + -0.13925 = 0.00000 0.00000 + -1.75uR = -0.0525 + -0.13925 -1.75uR = -0.0525 + -0.13925 Combine like terms: -0.0525 + -0.13925 = -0.19175 -1.75uR = -0.19175 Divide each side by '-1.75R'. u = 0.1095714286R-1 Simplifying u = 0.1095714286R-1
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