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

Question

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

Explanation:

Step1: Combine constant terms

$-2 - 3 = -5$, so $f = \frac{4}{5}f - 5$

Step2: Isolate $f$ terms

Subtract $\frac{4}{5}f$ from both sides: $f - \frac{4}{5}f = -5$

Step3: Simplify left side

$\frac{5}{5}f - \frac{4}{5}f = \frac{1}{5}f$, so $\frac{1}{5}f = -5$

Step4: Solve for $f$

Multiply both sides by 5: $f = -5 \times 5 = -25$

Answer:

$-25$