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Simplifying 0.10 = Wf(0.05) + (1 + -1Wf) Reorder the terms for easier multiplication: 0.10 = 0.05fW + (1 + -1Wf) Remove parenthesis around (1 + -1fW) 0.10 = 0.05fW + 1 + -1fW Reorder the terms: 0.10 = 1 + 0.05fW + -1fW Combine like terms: 0.05fW + -1fW = -0.95fW 0.10 = 1 + -0.95fW Solving 0.10 = 1 + -0.95fW Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '0.95fW' to each side of the equation. 0.10 + 0.95fW = 1 + -0.95fW + 0.95fW Combine like terms: -0.95fW + 0.95fW = 0.00 0.10 + 0.95fW = 1 + 0.00 0.10 + 0.95fW = 1 Add '-0.10' to each side of the equation. 0.10 + -0.10 + 0.95fW = 1 + -0.10 Combine like terms: 0.10 + -0.10 = 0.00 0.00 + 0.95fW = 1 + -0.10 0.95fW = 1 + -0.10 Combine like terms: 1 + -0.10 = 0.9 0.95fW = 0.9 Divide each side by '0.95W'. f = 0.9473684211W-1 Simplifying f = 0.9473684211W-1
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