3(2z-9)+6(8+z)=69

Solution for 3(2z-9)+6(8+z)=69 equation:

Simplifying
3(2z + -9) + 6(8 + z) = 69

Reorder the terms:
3(-9 + 2z) + 6(8 + z) = 69
(-9 * 3 + 2z * 3) + 6(8 + z) = 69
(-27 + 6z) + 6(8 + z) = 69
-27 + 6z + (8 * 6 + z * 6) = 69
-27 + 6z + (48 + 6z) = 69

Reorder the terms:
-27 + 48 + 6z + 6z = 69

Combine like terms: -27 + 48 = 21
21 + 6z + 6z = 69

Combine like terms: 6z + 6z = 12z
21 + 12z = 69

Solving
21 + 12z = 69

Solving for variable 'z'.

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

Add '-21' to each side of the equation.
21 + -21 + 12z = 69 + -21

Combine like terms: 21 + -21 = 0
0 + 12z = 69 + -21
12z = 69 + -21

Combine like terms: 69 + -21 = 48
12z = 48

Divide each side by '12'.
z = 4

Simplifying
z = 4