To solve the equation \(8c + 17 = 73\), we need to isolate the variable \(c\). First, subtract 17 from both sides of the equation to get \(8c = 56\). Then, divide both sides by 8 to solve for \(c\).
Step 1: Rearranging the Equation
Starting with the equation:
\[
8c + 17 = 73
\]
we subtract 17 from both sides to isolate the term with \(c\):
\[
8c = 73 - 17
\]
which simplifies to:
\[
8c = 56
\]
Step 2: Solving for \(c\)
Next, we divide both sides by 8 to solve for \(c\):
\[
c = \frac{56}{8}
\]
This simplifies to:
\[
c = 7.0
\]
Final Answer
Thus, the solution for \(c\) is:
\[
\boxed{c = 7.0}
\]