Question 25430
Simplifying
3(4z + -1) + -2(2 + 2) = 2(z + 1)

Reorder the terms:
3(-1 + 4z) + -2(2 + 2) = 2(z + 1)
(-1 * 3 + 4z * 3) + -2(2 + 2) = 2(z + 1)
(-3 + 12z) + -2(2 + 2) = 2(z + 1)

Combine like terms: 2 + 2 = 4
-3 + 12z + -2(4) = 2(z + 1)

Multiply -2 * 4
-3 + 12z + -8 = 2(z + 1)

Reorder the terms:
-3 + -8 + 12z = 2(z + 1)

Combine like terms: -3 + -8 = -11
-11 + 12z = 2(z + 1)

Reorder the terms:
-11 + 12z = 2(1 + z)
-11 + 12z = (1 * 2 + z * 2)
-11 + 12z = (2 + 2z)

Solving
-11 + 12z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-11 + 12z + -2z = 2 + 2z + -2z

Combine like terms: 12z + -2z = 10z
-11 + 10z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-11 + 10z = 2 + 0
-11 + 10z = 2

Add '11' to each side of the equation.
-11 + 11 + 10z = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 10z = 2 + 11
10z = 2 + 11

Combine like terms: 2 + 11 = 13
10z = 13

Divide each side by '10'.
z = 1.3

Simplifying
z = 1.3