9(z-3)=6+10z

Solution for 9(z-3)=6+10z equation:

Simplifying
9(z + -3) = 6 + 10z

Reorder the terms:
9(-3 + z) = 6 + 10z
(-3 * 9 + z * 9) = 6 + 10z
(-27 + 9z) = 6 + 10z

Solving
-27 + 9z = 6 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-27 + 9z + -10z = 6 + 10z + -10z

Combine like terms: 9z + -10z = -1z
-27 + -1z = 6 + 10z + -10z

Combine like terms: 10z + -10z = 0
-27 + -1z = 6 + 0
-27 + -1z = 6

Add '27' to each side of the equation.
-27 + 27 + -1z = 6 + 27

Combine like terms: -27 + 27 = 0
0 + -1z = 6 + 27
-1z = 6 + 27

Combine like terms: 6 + 27 = 33
-1z = 33

Divide each side by '-1'.
z = -33

Simplifying
z = -33