Question

Solve for z: -4 - (z - 6) = 12

Answer 1

z = -10

Explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

Answer 2

z = -10

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

1. Distribute negative: -4 - z + 6 = 12
2. Combine like terms: -z + 2 = 12
3. Subtract 2 on both sides: -z = 10
4. Divide -1 on both sides: z = -10

Step 3: Check

Plug in z to verify it's a solution.

1. Substitute: -4 - (-10 - 6) = 12
2. Subtract: -4 - (-16) = 12
3. Simplify: -4 + 16 = 12
4. Add: 12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.