6(2z-1)-4(2+8)=3(2+1)

Solution for 6(2z-1)-4(2+8)=3(2+1) equation:

Simplifying
6(2z + -1) + -4(2 + 8) = 3(2 + 1)

Reorder the terms:
6(-1 + 2z) + -4(2 + 8) = 3(2 + 1)
(-1 * 6 + 2z * 6) + -4(2 + 8) = 3(2 + 1)
(-6 + 12z) + -4(2 + 8) = 3(2 + 1)

Combine like terms: 2 + 8 = 10
-6 + 12z + -4(10) = 3(2 + 1)

Multiply -4 * 10
-6 + 12z + -40 = 3(2 + 1)

Reorder the terms:
-6 + -40 + 12z = 3(2 + 1)

Combine like terms: -6 + -40 = -46
-46 + 12z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-46 + 12z = 3(3)

Multiply 3 * 3
-46 + 12z = 9

Solving
-46 + 12z = 9

Solving for variable 'z'.

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

Add '46' to each side of the equation.
-46 + 46 + 12z = 9 + 46

Combine like terms: -46 + 46 = 0
0 + 12z = 9 + 46
12z = 9 + 46

Combine like terms: 9 + 46 = 55
12z = 55

Divide each side by '12'.
z = 4.583333333

Simplifying
z = 4.583333333