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

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

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

Reorder the terms:
3(-1 + 6z) + -4(z + 9) = 3(z + 1)
(-1 * 3 + 6z * 3) + -4(z + 9) = 3(z + 1)
(-3 + 18z) + -4(z + 9) = 3(z + 1)

Reorder the terms:
-3 + 18z + -4(9 + z) = 3(z + 1)
-3 + 18z + (9 * -4 + z * -4) = 3(z + 1)
-3 + 18z + (-36 + -4z) = 3(z + 1)

Reorder the terms:
-3 + -36 + 18z + -4z = 3(z + 1)

Combine like terms: -3 + -36 = -39
-39 + 18z + -4z = 3(z + 1)

Combine like terms: 18z + -4z = 14z
-39 + 14z = 3(z + 1)

Reorder the terms:
-39 + 14z = 3(1 + z)
-39 + 14z = (1 * 3 + z * 3)
-39 + 14z = (3 + 3z)

Solving
-39 + 14z = 3 + 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.
-39 + 14z + -3z = 3 + 3z + -3z

Combine like terms: 14z + -3z = 11z
-39 + 11z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-39 + 11z = 3 + 0
-39 + 11z = 3

Add '39' to each side of the equation.
-39 + 39 + 11z = 3 + 39

Combine like terms: -39 + 39 = 0
0 + 11z = 3 + 39
11z = 3 + 39

Combine like terms: 3 + 39 = 42
11z = 42

Divide each side by '11'.
z = 3.818181818

Simplifying
z = 3.818181818