Question

3 (22-4)=7- (z +5）explained

Answer 1

To solve the equation \( 3(22 - 4) = 7 - (z + 5) \), let's break it down step by step.

1. **Simplify the left side**: Start by calculating \( 22 - 4 \):
\[
22 - 4 = 18
\]
Now multiply by 3:
\[
3(18) = 54
\]
So the left side simplifies to:
\[
54
\]

2. **Rewrite the equation**: Now substitute back into the equation:
\[
54 = 7 - (z + 5)
\]

3. **Simplify the right side**: Distribute the negative sign:
\[
7 - (z + 5) = 7 - z - 5
\]
Which simplifies to:
\[
7 - 5 - z = 2 - z
\]

4. **Set up the equation**: Now we have:
\[
54 = 2 - z
\]

5. **Solve for \( z \)**: To isolate \( z \), we can rearrange the equation:
\[
z = 2 - 54
\]
\[
z = -52
\]

So the value of \( z \) is \( -52 \).

### Summary:
1. Simplified both sides to obtain: \( 54 = 2 - z \)
2. Isolated \( z \) to find: \( z = -52 \)