3(z-23)=21-3(z-4)

Solution for 3(z-23)=21-3(z-4) equation:

Simplifying
3(z + -23) = 21 + -3(z + -4)

Reorder the terms:
3(-23 + z) = 21 + -3(z + -4)
(-23 * 3 + z * 3) = 21 + -3(z + -4)
(-69 + 3z) = 21 + -3(z + -4)

Reorder the terms:
-69 + 3z = 21 + -3(-4 + z)
-69 + 3z = 21 + (-4 * -3 + z * -3)
-69 + 3z = 21 + (12 + -3z)

Combine like terms: 21 + 12 = 33
-69 + 3z = 33 + -3z

Solving
-69 + 3z = 33 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-69 + 3z + 3z = 33 + -3z + 3z

Combine like terms: 3z + 3z = 6z
-69 + 6z = 33 + -3z + 3z

Combine like terms: -3z + 3z = 0
-69 + 6z = 33 + 0
-69 + 6z = 33

Add '69' to each side of the equation.
-69 + 69 + 6z = 33 + 69

Combine like terms: -69 + 69 = 0
0 + 6z = 33 + 69
6z = 33 + 69

Combine like terms: 33 + 69 = 102
6z = 102

Divide each side by '6'.
z = 17

Simplifying
z = 17