3(4z-1)-2(z+3)=2(z+1)

Solution for 3(4z-1)-2(z+3)=2(z+1) equation:

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

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

Reorder the terms:
-3 + 12z + -2(3 + z) = 2(z + 1)
-3 + 12z + (3 * -2 + z * -2) = 2(z + 1)
-3 + 12z + (-6 + -2z) = 2(z + 1)

Reorder the terms:
-3 + -6 + 12z + -2z = 2(z + 1)

Combine like terms: -3 + -6 = -9
-9 + 12z + -2z = 2(z + 1)

Combine like terms: 12z + -2z = 10z
-9 + 10z = 2(z + 1)

Reorder the terms:
-9 + 10z = 2(1 + z)
-9 + 10z = (1 * 2 + z * 2)
-9 + 10z = (2 + 2z)

Solving
-9 + 10z = 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.
-9 + 10z + -2z = 2 + 2z + -2z

Combine like terms: 10z + -2z = 8z
-9 + 8z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-9 + 8z = 2 + 0
-9 + 8z = 2

Add '9' to each side of the equation.
-9 + 9 + 8z = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 8z = 2 + 9
8z = 2 + 9

Combine like terms: 2 + 9 = 11
8z = 11

Divide each side by '8'.
z = 1.375

Simplifying
z = 1.375