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

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

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

Reorder the terms:
-1 + -4(-8 + 6z) = 2(z + 3) + -1
-1 + (-8 * -4 + 6z * -4) = 2(z + 3) + -1
-1 + (32 + -24z) = 2(z + 3) + -1

Combine like terms: -1 + 32 = 31
31 + -24z = 2(z + 3) + -1

Reorder the terms:
31 + -24z = 2(3 + z) + -1
31 + -24z = (3 * 2 + z * 2) + -1
31 + -24z = (6 + 2z) + -1

Reorder the terms:
31 + -24z = 6 + -1 + 2z

Combine like terms: 6 + -1 = 5
31 + -24z = 5 + 2z

Solving
31 + -24z = 5 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
31 + -24z + -2z = 5 + 2z + -2z

Combine like terms: -24z + -2z = -26z
31 + -26z = 5 + 2z + -2z

Combine like terms: 2z + -2z = 0
31 + -26z = 5 + 0
31 + -26z = 5

Add '-31' to each side of the equation.
31 + -31 + -26z = 5 + -31

Combine like terms: 31 + -31 = 0
0 + -26z = 5 + -31
-26z = 5 + -31

Combine like terms: 5 + -31 = -26
-26z = -26

Divide each side by '-26'.
z = 1

Simplifying
z = 1