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

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

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

Reorder the terms:
6(-1 + 3z) + -5(z + 6) = 4(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 6) = 4(z + 1)
(-6 + 18z) + -5(z + 6) = 4(z + 1)

Reorder the terms:
-6 + 18z + -5(6 + z) = 4(z + 1)
-6 + 18z + (6 * -5 + z * -5) = 4(z + 1)
-6 + 18z + (-30 + -5z) = 4(z + 1)

Reorder the terms:
-6 + -30 + 18z + -5z = 4(z + 1)

Combine like terms: -6 + -30 = -36
-36 + 18z + -5z = 4(z + 1)

Combine like terms: 18z + -5z = 13z
-36 + 13z = 4(z + 1)

Reorder the terms:
-36 + 13z = 4(1 + z)
-36 + 13z = (1 * 4 + z * 4)
-36 + 13z = (4 + 4z)

Solving
-36 + 13z = 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.
-36 + 13z + -4z = 4 + 4z + -4z

Combine like terms: 13z + -4z = 9z
-36 + 9z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-36 + 9z = 4 + 0
-36 + 9z = 4

Add '36' to each side of the equation.
-36 + 36 + 9z = 4 + 36

Combine like terms: -36 + 36 = 0
0 + 9z = 4 + 36
9z = 4 + 36

Combine like terms: 4 + 36 = 40
9z = 40

Divide each side by '9'.
z = 4.444444444

Simplifying
z = 4.444444444