4z+1= 41

To solve the equation \( 4z + 1 = 41 \), follow these steps:

1. Subtract \( 1 \) from both sides:
\[
4z + 1 - 1 = 41 - 1
\]
\[
4z = 40
\]

2. Divide both sides by \( 4 \):
\[
z = \frac{40}{4}
\]
\[
z = 10
\]

So, the solution is \( z = 10 \).