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

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

Simplifying
2(4z + -1) + -3(z + 1) + -2(z + 1) = 0

Reorder the terms:
2(-1 + 4z) + -3(z + 1) + -2(z + 1) = 0
(-1 * 2 + 4z * 2) + -3(z + 1) + -2(z + 1) = 0
(-2 + 8z) + -3(z + 1) + -2(z + 1) = 0

Reorder the terms:
-2 + 8z + -3(1 + z) + -2(z + 1) = 0
-2 + 8z + (1 * -3 + z * -3) + -2(z + 1) = 0
-2 + 8z + (-3 + -3z) + -2(z + 1) = 0

Reorder the terms:
-2 + 8z + -3 + -3z + -2(1 + z) = 0
-2 + 8z + -3 + -3z + (1 * -2 + z * -2) = 0
-2 + 8z + -3 + -3z + (-2 + -2z) = 0

Reorder the terms:
-2 + -3 + -2 + 8z + -3z + -2z = 0

Combine like terms: -2 + -3 = -5
-5 + -2 + 8z + -3z + -2z = 0

Combine like terms: -5 + -2 = -7
-7 + 8z + -3z + -2z = 0

Combine like terms: 8z + -3z = 5z
-7 + 5z + -2z = 0

Combine like terms: 5z + -2z = 3z
-7 + 3z = 0

Solving
-7 + 3z = 0

Solving for variable 'z'.

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

Add '7' to each side of the equation.
-7 + 7 + 3z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3z = 0 + 7
3z = 0 + 7

Combine like terms: 0 + 7 = 7
3z = 7

Divide each side by '3'.
z = 2.333333333

Simplifying
z = 2.333333333