3(2z+1)-9=48

Solution for 3(2z+1)-9=48 equation:

Simplifying
3(2z + 1) + -9 = 48

Reorder the terms:
3(1 + 2z) + -9 = 48
(1 * 3 + 2z * 3) + -9 = 48
(3 + 6z) + -9 = 48

Reorder the terms:
3 + -9 + 6z = 48

Combine like terms: 3 + -9 = -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