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

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

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

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

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

Remove parenthesis around (1 + 4z)
-7 + -1z + 1 + 4z = -4(z + 1)

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

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

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

Reorder the terms:
-6 + 3z = -4(1 + z)
-6 + 3z = (1 * -4 + z * -4)
-6 + 3z = (-4 + -4z)

Solving
-6 + 3z = -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.
-6 + 3z + 4z = -4 + -4z + 4z

Combine like terms: 3z + 4z = 7z
-6 + 7z = -4 + -4z + 4z

Combine like terms: -4z + 4z = 0
-6 + 7z = -4 + 0
-6 + 7z = -4

Add '6' to each side of the equation.
-6 + 6 + 7z = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 7z = -4 + 6
7z = -4 + 6

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

Divide each side by '7'.
z = 0.2857142857

Simplifying
z = 0.2857142857