4z+6=9z-21

Solution for 4z+6=9z-21 equation:

Simplifying
4z + 6 = 9z + -21

Reorder the terms:
6 + 4z = 9z + -21

Reorder the terms:
6 + 4z = -21 + 9z

Solving
6 + 4z = -21 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
6 + 4z + -9z = -21 + 9z + -9z

Combine like terms: 4z + -9z = -5z
6 + -5z = -21 + 9z + -9z

Combine like terms: 9z + -9z = 0
6 + -5z = -21 + 0
6 + -5z = -21

Add '-6' to each side of the equation.
6 + -6 + -5z = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = -21 + -6
-5z = -21 + -6

Combine like terms: -21 + -6 = -27
-5z = -27

Divide each side by '-5'.
z = 5.4

Simplifying
z = 5.4