2-3(z+1)=20

Solution for 2-3(z+1)=20 equation:

Simplifying
2 + -3(z + 1) = 20

Reorder the terms:
2 + -3(1 + z) = 20
2 + (1 * -3 + z * -3) = 20
2 + (-3 + -3z) = 20

Combine like terms: 2 + -3 = -1
-1 + -3z = 20

Solving
-1 + -3z = 20

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + -3z = 20 + 1

Combine like terms: -1 + 1 = 0
0 + -3z = 20 + 1
-3z = 20 + 1

Combine like terms: 20 + 1 = 21
-3z = 21

Divide each side by '-3'.
z = -7

Simplifying
z = -7