2z-3(3z+1)=32

Solution for 2z-3(3z+1)=32 equation:

Simplifying
2z + -3(3z + 1) = 32

Reorder the terms:
2z + -3(1 + 3z) = 32
2z + (1 * -3 + 3z * -3) = 32
2z + (-3 + -9z) = 32

Reorder the terms:
-3 + 2z + -9z = 32

Combine like terms: 2z + -9z = -7z
-3 + -7z = 32

Solving
-3 + -7z = 32

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + -7z = 32 + 3

Combine like terms: -3 + 3 = 0
0 + -7z = 32 + 3
-7z = 32 + 3

Combine like terms: 32 + 3 = 35
-7z = 35

Divide each side by '-7'.
z = -5

Simplifying
z = -5