4(6z-1)-2(z+1)=19(z+1)

Solution for 4(6z-1)-2(z+1)=19(z+1) equation:

Simplifying
4(6z + -1) + -2(z + 1) = 19(z + 1)

Reorder the terms:
4(-1 + 6z) + -2(z + 1) = 19(z + 1)
(-1 * 4 + 6z * 4) + -2(z + 1) = 19(z + 1)
(-4 + 24z) + -2(z + 1) = 19(z + 1)

Reorder the terms:
-4 + 24z + -2(1 + z) = 19(z + 1)
-4 + 24z + (1 * -2 + z * -2) = 19(z + 1)
-4 + 24z + (-2 + -2z) = 19(z + 1)

Reorder the terms:
-4 + -2 + 24z + -2z = 19(z + 1)

Combine like terms: -4 + -2 = -6
-6 + 24z + -2z = 19(z + 1)

Combine like terms: 24z + -2z = 22z
-6 + 22z = 19(z + 1)

Reorder the terms:
-6 + 22z = 19(1 + z)
-6 + 22z = (1 * 19 + z * 19)
-6 + 22z = (19 + 19z)

Solving
-6 + 22z = 19 + 19z

Solving for variable 'z'.

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

Add '-19z' to each side of the equation.
-6 + 22z + -19z = 19 + 19z + -19z

Combine like terms: 22z + -19z = 3z
-6 + 3z = 19 + 19z + -19z

Combine like terms: 19z + -19z = 0
-6 + 3z = 19 + 0
-6 + 3z = 19

Add '6' to each side of the equation.
-6 + 6 + 3z = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 3z = 19 + 6
3z = 19 + 6

Combine like terms: 19 + 6 = 25
3z = 25

Divide each side by '3'.
z = 8.333333333

Simplifying
z = 8.333333333