3 (22-4)=7- (z +5）explained

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: \( z = -52 \)