4(3z-1)-3(z+9)=6(z+1)

Solution for 4(3z-1)-3(z+9)=6(z+1) equation:

Simplifying
4(3z + -1) + -3(z + 9) = 6(z + 1)

Reorder the terms:
4(-1 + 3z) + -3(z + 9) = 6(z + 1)
(-1 * 4 + 3z * 4) + -3(z + 9) = 6(z + 1)
(-4 + 12z) + -3(z + 9) = 6(z + 1)

Reorder the terms:
-4 + 12z + -3(9 + z) = 6(z + 1)
-4 + 12z + (9 * -3 + z * -3) = 6(z + 1)
-4 + 12z + (-27 + -3z) = 6(z + 1)

Reorder the terms:
-4 + -27 + 12z + -3z = 6(z + 1)

Combine like terms: -4 + -27 = -31
-31 + 12z + -3z = 6(z + 1)

Combine like terms: 12z + -3z = 9z
-31 + 9z = 6(z + 1)

Reorder the terms:
-31 + 9z = 6(1 + z)
-31 + 9z = (1 * 6 + z * 6)
-31 + 9z = (6 + 6z)

Solving
-31 + 9z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-31 + 9z + -6z = 6 + 6z + -6z

Combine like terms: 9z + -6z = 3z
-31 + 3z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-31 + 3z = 6 + 0
-31 + 3z = 6

Add '31' to each side of the equation.
-31 + 31 + 3z = 6 + 31

Combine like terms: -31 + 31 = 0
0 + 3z = 6 + 31
3z = 6 + 31

Combine like terms: 6 + 31 = 37
3z = 37

Divide each side by '3'.
z = 12.33333333

Simplifying
z = 12.33333333