3-4(z+1)=32-(2+z)

Solution for 3-4(z+1)=32-(2+z) equation:

Simplifying
3 + -4(z + 1) = 32 + -1(2 + z)

Reorder the terms:
3 + -4(1 + z) = 32 + -1(2 + z)
3 + (1 * -4 + z * -4) = 32 + -1(2 + z)
3 + (-4 + -4z) = 32 + -1(2 + z)

Combine like terms: 3 + -4 = -1
-1 + -4z = 32 + -1(2 + z)
-1 + -4z = 32 + (2 * -1 + z * -1)
-1 + -4z = 32 + (-2 + -1z)

Combine like terms: 32 + -2 = 30
-1 + -4z = 30 + -1z

Solving
-1 + -4z = 30 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-1 + -4z + z = 30 + -1z + z

Combine like terms: -4z + z = -3z
-1 + -3z = 30 + -1z + z

Combine like terms: -1z + z = 0
-1 + -3z = 30 + 0
-1 + -3z = 30

Add '1' to each side of the equation.
-1 + 1 + -3z = 30 + 1

Combine like terms: -1 + 1 = 0
0 + -3z = 30 + 1
-3z = 30 + 1

Combine like terms: 30 + 1 = 31
-3z = 31

Divide each side by '-3'.
z = -10.33333333

Simplifying
z = -10.33333333