.10=Wf(.05)+(1-Wf)

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Solution for .10=Wf(.05)+(1-Wf) equation:


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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