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

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

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

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

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

Remove parenthesis around (1 + 5z)
-6 + -1z + 1 + 5z = -4(z + 1)

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

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

Combine like terms: -1z + 5z = 4z
-5 + 4z = -4(z + 1)

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

Solving
-5 + 4z = -4 + -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.
-5 + 4z + 4z = -4 + -4z + 4z

Combine like terms: 4z + 4z = 8z
-5 + 8z = -4 + -4z + 4z

Combine like terms: -4z + 4z = 0
-5 + 8z = -4 + 0
-5 + 8z = -4

Add '5' to each side of the equation.
-5 + 5 + 8z = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 8z = -4 + 5
8z = -4 + 5

Combine like terms: -4 + 5 = 1
8z = 1

Divide each side by '8'.
z = 0.125

Simplifying
z = 0.125