Answer :

Let's solve the equation [tex]\( 89 = 8c + 25 \)[/tex] step by step to find the value of [tex]\( c \)[/tex].

1. First Step: Isolate the term with the variable [tex]\( c \)[/tex]
- To do this, we need to get rid of the constant term on the right side. We can subtract 25 from both sides of the equation:
[tex]\[
89 - 25 = 8c
\][/tex]

2. Calculate the left side:
- [tex]\( 89 - 25 = 64 \)[/tex]
- So, the equation becomes:
[tex]\[
64 = 8c
\][/tex]

3. Second Step: Solve for [tex]\( c \)[/tex]
- Now, divide both sides of the equation by 8 to isolate [tex]\( c \)[/tex]:
[tex]\[
c = \frac{64}{8}
\][/tex]

4. Calculate the value of [tex]\( c \)[/tex]:
- [tex]\( \frac{64}{8} = 8 \)[/tex]

Therefore, the solution for [tex]\( c \)[/tex] is [tex]\( c = 8 \)[/tex].

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