.10=F(.05)+(1-F)(.124)

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Solution for .10=F(.05)+(1-F)(.124) equation: 


Simplifying
0.10 = F(0.05) + (1 + -1F)(0.124)

Reorder the terms for easier multiplication:
0.10 = 0.05F + (1 + -1F)(0.124)

Reorder the terms for easier multiplication:
0.10 = 0.05F + 0.124(1 + -1F)
0.10 = 0.05F + (1 * 0.124 + -1F * 0.124)
0.10 = 0.05F + (0.124 + -0.124F)

Reorder the terms:
0.10 = 0.124 + 0.05F + -0.124F

Combine like terms: 0.05F + -0.124F = -0.074F
0.10 = 0.124 + -0.074F

Solving
0.10 = 0.124 + -0.074F

Solving for variable 'F'.

Move all terms containing F to the left, all other terms to the right.

Add '0.074F' to each side of the equation.
0.10 + 0.074F = 0.124 + -0.074F + 0.074F

Combine like terms: -0.074F + 0.074F = 0.000
0.10 + 0.074F = 0.124 + 0.000
0.10 + 0.074F = 0.124

Add '-0.10' to each side of the equation.
0.10 + -0.10 + 0.074F = 0.124 + -0.10

Combine like terms: 0.10 + -0.10 = 0.00
0.00 + 0.074F = 0.124 + -0.10
0.074F = 0.124 + -0.10

Combine like terms: 0.124 + -0.10 = 0.024
0.074F = 0.024

Divide each side by '0.074'.
F = 0.3243243243

Simplifying
F = 0.3243243243

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