3(5z-1)-4(z+6)=4(z+1)

Solution for 3(5z-1)-4(z+6)=4(z+1) equation:

Simplifying
3(5z + -1) + -4(z + 6) = 4(z + 1)

Reorder the terms:
3(-1 + 5z) + -4(z + 6) = 4(z + 1)
(-1 * 3 + 5z * 3) + -4(z + 6) = 4(z + 1)
(-3 + 15z) + -4(z + 6) = 4(z + 1)

Reorder the terms:
-3 + 15z + -4(6 + z) = 4(z + 1)
-3 + 15z + (6 * -4 + z * -4) = 4(z + 1)
-3 + 15z + (-24 + -4z) = 4(z + 1)

Reorder the terms:
-3 + -24 + 15z + -4z = 4(z + 1)

Combine like terms: -3 + -24 = -27
-27 + 15z + -4z = 4(z + 1)

Combine like terms: 15z + -4z = 11z
-27 + 11z = 4(z + 1)

Reorder the terms:
-27 + 11z = 4(1 + z)
-27 + 11z = (1 * 4 + z * 4)
-27 + 11z = (4 + 4z)

Solving
-27 + 11z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-27 + 11z + -4z = 4 + 4z + -4z

Combine like terms: 11z + -4z = 7z
-27 + 7z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-27 + 7z = 4 + 0
-27 + 7z = 4

Add '27' to each side of the equation.
-27 + 27 + 7z = 4 + 27

Combine like terms: -27 + 27 = 0
0 + 7z = 4 + 27
7z = 4 + 27

Combine like terms: 4 + 27 = 31
7z = 31

Divide each side by '7'.
z = 4.428571429

Simplifying
z = 4.428571429