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

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

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

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

Reorder the terms:
-2 + 8z + -3(8 + z) = 3(2 + 1)
-2 + 8z + (8 * -3 + z * -3) = 3(2 + 1)
-2 + 8z + (-24 + -3z) = 3(2 + 1)

Reorder the terms:
-2 + -24 + 8z + -3z = 3(2 + 1)

Combine like terms: -2 + -24 = -26
-26 + 8z + -3z = 3(2 + 1)

Combine like terms: 8z + -3z = 5z
-26 + 5z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-26 + 5z = 3(3)

Multiply 3 * 3
-26 + 5z = 9

Solving
-26 + 5z = 9

Solving for variable 'z'.

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

Add '26' to each side of the equation.
-26 + 26 + 5z = 9 + 26

Combine like terms: -26 + 26 = 0
0 + 5z = 9 + 26
5z = 9 + 26

Combine like terms: 9 + 26 = 35
5z = 35

Divide each side by '5'.
z = 7

Simplifying
z = 7