Answer :

To solve the equation [tex]\(5f - 45 = 115\)[/tex] and find the value of [tex]\(f\)[/tex], follow these steps:

1. Isolate the term with [tex]\(f\)[/tex]:
Start by getting rid of the constant on the left side ([tex]\(-45\)[/tex]) by adding 45 to both sides of the equation. This will help to isolate the term containing [tex]\(f\)[/tex].

[tex]\[
5f - 45 + 45 = 115 + 45
\][/tex]

Simplifying both sides gives:

[tex]\[
5f = 160
\][/tex]

2. Solve for [tex]\(f\)[/tex]:
Now, divide both sides of the equation by 5 to solve for [tex]\(f\)[/tex].

[tex]\[
f = \frac{160}{5}
\][/tex]

3. Calculate the result:
Performing the division gives:

[tex]\[
f = 32
\][/tex]

Therefore, the value of [tex]\(f\)[/tex] is 32.

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