Simplify and solve the following linear equation:
$0.25 (4 f - 3) = 0.05 (10 f - 9)$

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Solution

$\frac{25}{100} (4 f - 3) = \frac{5}{100} (10 f - 9)$
$5 (4 f - 3) = 10 f - 9$
$20 f - 15 = 10 f - 9$
Transpose $10 f$ to LHS and $15$ to RHS
$10 f = 6$
$f = \frac{6}{10}$
$f = 0.6$

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