3(4z-7)+9(2z+3)=

Solution for 3(4z-7)+9(2z+3)= equation:

Simplifying
3(4z + -7) + 9(2z + 3) = 0

Reorder the terms:
3(-7 + 4z) + 9(2z + 3) = 0
(-7 * 3 + 4z * 3) + 9(2z + 3) = 0
(-21 + 12z) + 9(2z + 3) = 0

Reorder the terms:
-21 + 12z + 9(3 + 2z) = 0
-21 + 12z + (3 * 9 + 2z * 9) = 0
-21 + 12z + (27 + 18z) = 0

Reorder the terms:
-21 + 27 + 12z + 18z = 0

Combine like terms: -21 + 27 = 6
6 + 12z + 18z = 0

Combine like terms: 12z + 18z = 30z
6 + 30z = 0

Solving
6 + 30z = 0

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 30z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 30z = 0 + -6
30z = 0 + -6

Combine like terms: 0 + -6 = -6
30z = -6

Divide each side by '30'.
z = -0.2

Simplifying
z = -0.2