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

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

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

Reorder the terms:
-6 + 7(4 + -4z) = -1(-5z + -1) + -1
-6 + (4 * 7 + -4z * 7) = -1(-5z + -1) + -1
-6 + (28 + -28z) = -1(-5z + -1) + -1

Combine like terms: -6 + 28 = 22
22 + -28z = -1(-5z + -1) + -1

Reorder the terms:
22 + -28z = -1(-1 + -5z) + -1
22 + -28z = (-1 * -1 + -5z * -1) + -1
22 + -28z = (1 + 5z) + -1

Reorder the terms:
22 + -28z = 1 + -1 + 5z

Combine like terms: 1 + -1 = 0
22 + -28z = 0 + 5z
22 + -28z = 5z

Solving
22 + -28z = 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
22 + -28z + -5z = 5z + -5z

Combine like terms: -28z + -5z = -33z
22 + -33z = 5z + -5z

Combine like terms: 5z + -5z = 0
22 + -33z = 0

Add '-22' to each side of the equation.
22 + -22 + -33z = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -33z = 0 + -22
-33z = 0 + -22

Combine like terms: 0 + -22 = -22
-33z = -22

Divide each side by '-33'.
z = 0.6666666667

Simplifying
z = 0.6666666667