-(z+7)+(4z+1)=-2(z+1)

Solution for -(z+7)+(4z+1)=-2(z+1) equation:

Simplifying
-1(z + 7) + (4z + 1) = -2(z + 1)

Reorder the terms:
-1(7 + z) + (4z + 1) = -2(z + 1)
(7 * -1 + z * -1) + (4z + 1) = -2(z + 1)
(-7 + -1z) + (4z + 1) = -2(z + 1)

Reorder the terms:
-7 + -1z + (1 + 4z) = -2(z + 1)

Remove parenthesis around (1 + 4z)
-7 + -1z + 1 + 4z = -2(z + 1)

Reorder the terms:
-7 + 1 + -1z + 4z = -2(z + 1)

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

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

Reorder the terms:
-6 + 3z = -2(1 + z)
-6 + 3z = (1 * -2 + z * -2)
-6 + 3z = (-2 + -2z)

Solving
-6 + 3z = -2 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-6 + 3z + 2z = -2 + -2z + 2z

Combine like terms: 3z + 2z = 5z
-6 + 5z = -2 + -2z + 2z

Combine like terms: -2z + 2z = 0
-6 + 5z = -2 + 0
-6 + 5z = -2

Add '6' to each side of the equation.
-6 + 6 + 5z = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = -2 + 6
5z = -2 + 6

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

Divide each side by '5'.
z = 0.8

Simplifying
z = 0.8