4+2z-3=9z+6-6z

Solution for 4+2z-3=9z+6-6z equation:

Simplifying
4 + 2z + -3 = 9z + 6 + -6z

Reorder the terms:
4 + -3 + 2z = 9z + 6 + -6z

Combine like terms: 4 + -3 = 1
1 + 2z = 9z + 6 + -6z

Reorder the terms:
1 + 2z = 6 + 9z + -6z

Combine like terms: 9z + -6z = 3z
1 + 2z = 6 + 3z

Solving
1 + 2z = 6 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
1 + 2z + -3z = 6 + 3z + -3z

Combine like terms: 2z + -3z = -1z
1 + -1z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
1 + -1z = 6 + 0
1 + -1z = 6

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

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

Combine like terms: 6 + -1 = 5
-1z = 5

Divide each side by '-1'.
z = -5

Simplifying
z = -5