3 (22-4)=7- (z +5）

To solve the equation \( 3(22 - 4) = 7 - (z + 5) \), we will follow these steps:

First, simplify the left side:

\[ 3(22 - 4) = 3 \times 18 = 54 \]

Now, simplify the right side:

\[ 7 - (z + 5) = 7 - z - 5 = 2 - z \]

Now we have the equation:

\[ 54 = 2 - z \]

Next, isolate \( z \). First, subtract 2 from both sides:

\[ 54 - 2 = -z \]

This simplifies to:

\[ 52 = -z \]

Now, multiply both sides by -1 to solve for \( z \):

\[ z = -52 \]

Thus, the solution is:

\[ z = -52 \]