Question

3 （22-4） =7- （z +5）explained

Answer 1

To solve the equation \( 3(22 - 4) = 7 - (z + 5) \), we will follow the steps of simplification and solving for \( z \).

1. **Simplify the left side of the equation**:

We first calculate \( 22 - 4 \):
\[
22 - 4 = 18
\]
Now, multiply by 3:
\[
3 \times 18 = 54
\]
So, the left side becomes:
\[
3(22 - 4) = 54
\]

2. **Simplify the right side of the equation**:

We need to simplify \( 7 - (z + 5) \):
\[
7 - (z + 5) = 7 - z - 5 = 2 - z
\]

3. **Set the simplified sides equal to each other**:
Now that we have both sides simplified, we rewrite the equation:
\[
54 = 2 - z
\]

4. **Solve for \( z \)**:
To isolate \( z \), we first subtract 2 from both sides:
\[
54 - 2 = -z
\]
\[
52 = -z
\]
Now, multiply both sides by -1 to solve for \( z \):
\[
z = -52
\]

So, the final solution is:
\[
z = -52
\]