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3 years ago

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

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

aksik [14]3 years ago

7 0

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

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

Step 3: Check

Plug in z to verify it's a solution.

Substitute: -4 - (-10 - 6) = 12
Subtract: -4 - (-16) = 12
Simplify: -4 + 16 = 12
Add: 12 = 12

Here we see that 12 does indeed equal 12.

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

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