4(6z-1)-3(z+6)=19(z+1)

Solution for 4(6z-1)-3(z+6)=19(z+1) equation:

Simplifying
4(6z + -1) + -3(z + 6) = 19(z + 1)

Reorder the terms:
4(-1 + 6z) + -3(z + 6) = 19(z + 1)
(-1 * 4 + 6z * 4) + -3(z + 6) = 19(z + 1)
(-4 + 24z) + -3(z + 6) = 19(z + 1)

Reorder the terms:
-4 + 24z + -3(6 + z) = 19(z + 1)
-4 + 24z + (6 * -3 + z * -3) = 19(z + 1)
-4 + 24z + (-18 + -3z) = 19(z + 1)

Reorder the terms:
-4 + -18 + 24z + -3z = 19(z + 1)

Combine like terms: -4 + -18 = -22
-22 + 24z + -3z = 19(z + 1)

Combine like terms: 24z + -3z = 21z
-22 + 21z = 19(z + 1)

Reorder the terms:
-22 + 21z = 19(1 + z)
-22 + 21z = (1 * 19 + z * 19)
-22 + 21z = (19 + 19z)

Solving
-22 + 21z = 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.
-22 + 21z + -19z = 19 + 19z + -19z

Combine like terms: 21z + -19z = 2z
-22 + 2z = 19 + 19z + -19z

Combine like terms: 19z + -19z = 0
-22 + 2z = 19 + 0
-22 + 2z = 19

Add '22' to each side of the equation.
-22 + 22 + 2z = 19 + 22

Combine like terms: -22 + 22 = 0
0 + 2z = 19 + 22
2z = 19 + 22

Combine like terms: 19 + 22 = 41
2z = 41

Divide each side by '2'.
z = 20.5

Simplifying
z = 20.5