Answer :

Sure! Let's solve the equation step by step:

We are given the equation:
[tex]\[ -40 = -5c - 25 \][/tex]

1. Move constant terms to the other side:

To isolate the term with [tex]\( c \)[/tex], we first add 25 to both sides of the equation to move the constant term on the right side over to the left side.

[tex]\[
-40 + 25 = -5c - 25 + 25
\][/tex]

This simplifies to:

[tex]\[
-15 = -5c
\][/tex]

2. Solve for [tex]\( c \)[/tex]:

Now that we have [tex]\(-15 = -5c\)[/tex], we divide both sides by [tex]\(-5\)[/tex] to solve for [tex]\( c \)[/tex].

[tex]\[
\frac{-15}{-5} = c
\][/tex]

This simplifies to:

[tex]\[
c = 3
\][/tex]

So, the solution for [tex]\( c \)[/tex] is [tex]\( c = 3 \)[/tex].