2(3z+1)-8=48

Solution for 2(3z+1)-8=48 equation:

Simplifying
2(3z + 1) + -8 = 48

Reorder the terms:
2(1 + 3z) + -8 = 48
(1 * 2 + 3z * 2) + -8 = 48
(2 + 6z) + -8 = 48

Reorder the terms:
2 + -8 + 6z = 48

Combine like terms: 2 + -8 = -6
-6 + 6z = 48

Solving
-6 + 6z = 48

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 6z = 48 + 6

Combine like terms: -6 + 6 = 0
0 + 6z = 48 + 6
6z = 48 + 6

Combine like terms: 48 + 6 = 54
6z = 54

Divide each side by '6'.
z = 9

Simplifying
z = 9