3(2z-7)+4=z-6

Solution for 3(2z-7)+4=z-6 equation:

Simplifying
3(2z + -7) + 4 = z + -6

Reorder the terms:
3(-7 + 2z) + 4 = z + -6
(-7 * 3 + 2z * 3) + 4 = z + -6
(-21 + 6z) + 4 = z + -6

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

Combine like terms: -21 + 4 = -17
-17 + 6z = z + -6

Reorder the terms:
-17 + 6z = -6 + z

Solving
-17 + 6z = -6 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-17 + 6z + -1z = -6 + z + -1z

Combine like terms: 6z + -1z = 5z
-17 + 5z = -6 + z + -1z

Combine like terms: z + -1z = 0
-17 + 5z = -6 + 0
-17 + 5z = -6

Add '17' to each side of the equation.
-17 + 17 + 5z = -6 + 17

Combine like terms: -17 + 17 = 0
0 + 5z = -6 + 17
5z = -6 + 17

Combine like terms: -6 + 17 = 11
5z = 11

Divide each side by '5'.
z = 2.2

Simplifying
z = 2.2