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Simplifying 9 = Rf + 0.08(10 + -1Rf) 9 = fR + (10 * 0.08 + -1fR * 0.08) 9 = fR + (0.8 + -0.08fR) Reorder the terms: 9 = 0.8 + fR + -0.08fR Combine like terms: fR + -0.08fR = 0.92fR 9 = 0.8 + 0.92fR Solving 9 = 0.8 + 0.92fR Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.92fR' to each side of the equation. 9 + -0.92fR = 0.8 + 0.92fR + -0.92fR Combine like terms: 0.92fR + -0.92fR = 0.00 9 + -0.92fR = 0.8 + 0.00 9 + -0.92fR = 0.8 Add '-9' to each side of the equation. 9 + -9 + -0.92fR = 0.8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.92fR = 0.8 + -9 -0.92fR = 0.8 + -9 Combine like terms: 0.8 + -9 = -8.2 -0.92fR = -8.2 Divide each side by '-0.92R'. f = 8.913043478R-1 Simplifying f = 8.913043478R-1
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