College

Solve for [tex]$f$[/tex].

[tex]
\begin{array}{l}
13 = f - 83 \\
f = \square \\
\end{array}
[/tex]

Answer :

To solve the equation [tex]\(13 = f - 83\)[/tex] for [tex]\(f\)[/tex], you can follow these steps:

1. Identify the given equation:
[tex]\[
13 = f - 83
\][/tex]

2. Isolate [tex]\(f\)[/tex] on one side of the equation:
To do this, you need to get rid of the -83 on the right side. You can do this by adding 83 to both sides of the equation.

3. Add 83 to both sides:
[tex]\[
13 + 83 = f - 83 + 83
\][/tex]

4. Simplify both sides:
- The right side simplifies because [tex]\(-83 + 83 = 0\)[/tex], so you are left with just [tex]\(f\)[/tex].
- The left side simplifies to [tex]\(96\)[/tex] because [tex]\(13 + 83 = 96\)[/tex].

5. Rewrite the equation:
[tex]\[
96 = f
\][/tex]

So, the solution is [tex]\(f = 96\)[/tex].