Question

solve for f.
$f = -25$
$f = -2 + \frac{4}{5}f - 3$
$f = -5 + \frac{4}{5}f$

Explanation:

Step1: Combine like terms on the right

First, combine the constant terms \(-2\) and \(-3\) on the right side of the equation \(f = -2+\frac{4}{5}f - 3\). So we have \(f=\frac{4}{5}f-5\).

Step2: Subtract \(\frac{4}{5}f\) from both sides

Subtract \(\frac{4}{5}f\) from each side to get \(f-\frac{4}{5}f=\frac{4}{5}f - 5-\frac{4}{5}f\). Simplifying the left side: \(f-\frac{4}{5}f=\frac{5}{5}f-\frac{4}{5}f=\frac{1}{5}f\), and the right side simplifies to \(-5\). So now we have \(\frac{1}{5}f=-5\).

Step3: Multiply both sides by 5

Multiply both sides of the equation \(\frac{1}{5}f = - 5\) by 5 to solve for \(f\). So \(5\times\frac{1}{5}f=5\times(-5)\), which gives \(f = - 25\).

Answer:

\(f=-25\)