3(4z-1)-2(2+8)=3(2+1)

Solution for 3(4z-1)-2(2+8)=3(2+1) equation:

Simplifying
3(4z + -1) + -2(2 + 8) = 3(2 + 1)

Reorder the terms:
3(-1 + 4z) + -2(2 + 8) = 3(2 + 1)
(-1 * 3 + 4z * 3) + -2(2 + 8) = 3(2 + 1)
(-3 + 12z) + -2(2 + 8) = 3(2 + 1)

Combine like terms: 2 + 8 = 10
-3 + 12z + -2(10) = 3(2 + 1)

Multiply -2 * 10
-3 + 12z + -20 = 3(2 + 1)

Reorder the terms:
-3 + -20 + 12z = 3(2 + 1)

Combine like terms: -3 + -20 = -23
-23 + 12z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-23 + 12z = 3(3)

Multiply 3 * 3
-23 + 12z = 9

Solving
-23 + 12z = 9

Solving for variable 'z'.

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

Add '23' to each side of the equation.
-23 + 23 + 12z = 9 + 23

Combine like terms: -23 + 23 = 0
0 + 12z = 9 + 23
12z = 9 + 23

Combine like terms: 9 + 23 = 32
12z = 32

Divide each side by '12'.
z = 2.666666667

Simplifying
z = 2.666666667