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

Solution for 2(z+1)-(1+5z)=-4z equation:

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

Reorder the terms:
2(1 + z) + -1(1 + 5z) = -4z
(1 * 2 + z * 2) + -1(1 + 5z) = -4z
(2 + 2z) + -1(1 + 5z) = -4z
2 + 2z + (1 * -1 + 5z * -1) = -4z
2 + 2z + (-1 + -5z) = -4z

Reorder the terms:
2 + -1 + 2z + -5z = -4z

Combine like terms: 2 + -1 = 1
1 + 2z + -5z = -4z

Combine like terms: 2z + -5z = -3z
1 + -3z = -4z

Solving
1 + -3z = -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.
1 + -3z + 4z = -4z + 4z

Combine like terms: -3z + 4z = 1z
1 + 1z = -4z + 4z

Combine like terms: -4z + 4z = 0
1 + 1z = 0

Add '-1' to each side of the equation.
1 + -1 + 1z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1z = 0 + -1
1z = 0 + -1

Combine like terms: 0 + -1 = -1
1z = -1

Divide each side by '1'.
z = -1

Simplifying
z = -1