5(6z-1)-3(z+9)=24(z+1)

Solution for 5(6z-1)-3(z+9)=24(z+1) equation:

Simplifying
5(6z + -1) + -3(z + 9) = 24(z + 1)

Reorder the terms:
5(-1 + 6z) + -3(z + 9) = 24(z + 1)
(-1 * 5 + 6z * 5) + -3(z + 9) = 24(z + 1)
(-5 + 30z) + -3(z + 9) = 24(z + 1)

Reorder the terms:
-5 + 30z + -3(9 + z) = 24(z + 1)
-5 + 30z + (9 * -3 + z * -3) = 24(z + 1)
-5 + 30z + (-27 + -3z) = 24(z + 1)

Reorder the terms:
-5 + -27 + 30z + -3z = 24(z + 1)

Combine like terms: -5 + -27 = -32
-32 + 30z + -3z = 24(z + 1)

Combine like terms: 30z + -3z = 27z
-32 + 27z = 24(z + 1)

Reorder the terms:
-32 + 27z = 24(1 + z)
-32 + 27z = (1 * 24 + z * 24)
-32 + 27z = (24 + 24z)

Solving
-32 + 27z = 24 + 24z

Solving for variable 'z'.

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

Add '-24z' to each side of the equation.
-32 + 27z + -24z = 24 + 24z + -24z

Combine like terms: 27z + -24z = 3z
-32 + 3z = 24 + 24z + -24z

Combine like terms: 24z + -24z = 0
-32 + 3z = 24 + 0
-32 + 3z = 24

Add '32' to each side of the equation.
-32 + 32 + 3z = 24 + 32

Combine like terms: -32 + 32 = 0
0 + 3z = 24 + 32
3z = 24 + 32

Combine like terms: 24 + 32 = 56
3z = 56

Divide each side by '3'.
z = 18.66666667

Simplifying
z = 18.66666667