-5z-1+7(z+1)=-4z-6

Solution for -5z-1+7(z+1)=-4z-6 equation:

Simplifying
-5z + -1 + 7(z + 1) = -4z + -6

Reorder the terms:
-5z + -1 + 7(1 + z) = -4z + -6
-5z + -1 + (1 * 7 + z * 7) = -4z + -6
-5z + -1 + (7 + 7z) = -4z + -6

Reorder the terms:
-1 + 7 + -5z + 7z = -4z + -6

Combine like terms: -1 + 7 = 6
6 + -5z + 7z = -4z + -6

Combine like terms: -5z + 7z = 2z
6 + 2z = -4z + -6

Reorder the terms:
6 + 2z = -6 + -4z

Solving
6 + 2z = -6 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
6 + 2z + 4z = -6 + -4z + 4z

Combine like terms: 2z + 4z = 6z
6 + 6z = -6 + -4z + 4z

Combine like terms: -4z + 4z = 0
6 + 6z = -6 + 0
6 + 6z = -6

Add '-6' to each side of the equation.
6 + -6 + 6z = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 6z = -6 + -6
6z = -6 + -6

Combine like terms: -6 + -6 = -12
6z = -12

Divide each side by '6'.
z = -2

Simplifying
z = -2