3(z-21)+3(z-2)=27

Solution for 3(z-21)+3(z-2)=27 equation:

Simplifying
3(z + -21) + 3(z + -2) = 27

Reorder the terms:
3(-21 + z) + 3(z + -2) = 27
(-21 * 3 + z * 3) + 3(z + -2) = 27
(-63 + 3z) + 3(z + -2) = 27

Reorder the terms:
-63 + 3z + 3(-2 + z) = 27
-63 + 3z + (-2 * 3 + z * 3) = 27
-63 + 3z + (-6 + 3z) = 27

Reorder the terms:
-63 + -6 + 3z + 3z = 27

Combine like terms: -63 + -6 = -69
-69 + 3z + 3z = 27

Combine like terms: 3z + 3z = 6z
-69 + 6z = 27

Solving
-69 + 6z = 27

Solving for variable 'z'.

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

Add '69' to each side of the equation.
-69 + 69 + 6z = 27 + 69

Combine like terms: -69 + 69 = 0
0 + 6z = 27 + 69
6z = 27 + 69

Combine like terms: 27 + 69 = 96
6z = 96

Divide each side by '6'.
z = 16

Simplifying
z = 16