5(4z-1)-4(2+8)=2(2+1)

Solution for 5(4z-1)-4(2+8)=2(2+1) equation:

Simplifying
5(4z + -1) + -4(2 + 8) = 2(2 + 1)

Reorder the terms:
5(-1 + 4z) + -4(2 + 8) = 2(2 + 1)
(-1 * 5 + 4z * 5) + -4(2 + 8) = 2(2 + 1)
(-5 + 20z) + -4(2 + 8) = 2(2 + 1)

Combine like terms: 2 + 8 = 10
-5 + 20z + -4(10) = 2(2 + 1)

Multiply -4 * 10
-5 + 20z + -40 = 2(2 + 1)

Reorder the terms:
-5 + -40 + 20z = 2(2 + 1)

Combine like terms: -5 + -40 = -45
-45 + 20z = 2(2 + 1)

Combine like terms: 2 + 1 = 3
-45 + 20z = 2(3)

Multiply 2 * 3
-45 + 20z = 6

Solving
-45 + 20z = 6

Solving for variable 'z'.

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

Add '45' to each side of the equation.
-45 + 45 + 20z = 6 + 45

Combine like terms: -45 + 45 = 0
0 + 20z = 6 + 45
20z = 6 + 45

Combine like terms: 6 + 45 = 51
20z = 51

Divide each side by '20'.
z = 2.55

Simplifying
z = 2.55