-6+(-7z+7)=-8(3z+2)-4

Solution for -6+(-7z+7)=-8(3z+2)-4 equation:

Simplifying
-6 + (-7z + 7) = -8(3z + 2) + -4

Reorder the terms:
-6 + (7 + -7z) = -8(3z + 2) + -4

Remove parenthesis around (7 + -7z)
-6 + 7 + -7z = -8(3z + 2) + -4

Combine like terms: -6 + 7 = 1
1 + -7z = -8(3z + 2) + -4

Reorder the terms:
1 + -7z = -8(2 + 3z) + -4
1 + -7z = (2 * -8 + 3z * -8) + -4
1 + -7z = (-16 + -24z) + -4

Reorder the terms:
1 + -7z = -16 + -4 + -24z

Combine like terms: -16 + -4 = -20
1 + -7z = -20 + -24z

Solving
1 + -7z = -20 + -24z

Solving for variable 'z'.

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

Add '24z' to each side of the equation.
1 + -7z + 24z = -20 + -24z + 24z

Combine like terms: -7z + 24z = 17z
1 + 17z = -20 + -24z + 24z

Combine like terms: -24z + 24z = 0
1 + 17z = -20 + 0
1 + 17z = -20

Add '-1' to each side of the equation.
1 + -1 + 17z = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 17z = -20 + -1
17z = -20 + -1

Combine like terms: -20 + -1 = -21
17z = -21

Divide each side by '17'.
z = -1.235294118

Simplifying
z = -1.235294118