Question

What is the value of z in the equation 2(4z − 3 − 21) = 166 − 46? 21 24 30 36

Answer 1

Simplifying

2(4z + -3 + -21) = 166 + -46

Reorder the terms:

2(-3 + -21 + 4z) = 166 + -46

Combine like terms: -3 + -21 = -24

2(-24 + 4z) = 166 + -46

(-24 * 2 + 4z * 2) = 166 + -46

(-48 + 8z) = 166 + -46

Combine like terms: 166 + -46 = 120

-48 + 8z = 120

Solving

-48 + 8z = 120

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '48' to each side of the equation.

-48 + 48 + 8z = 120 + 48

Combine like terms: -48 + 48 = 0

0 + 8z = 120 + 48

8z = 120 + 48

Combine like terms: 120 + 48 = 168

8z = 168

Divide each side by '8'.

z = 21

Simplifying

z = 21

Answer 2

2(4z-3-21)=166-46

Combine like terms
2(4z-24)= 120

Distribute
8z-48= 120

Add 48 to both sides
8z= 168

Divide both sides by 8
z=21

Final answer: z=21