(z+6)=-4z

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

Simplifying
(z + 6) = -4z

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

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

Solving
6 + z = -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 + z + 4z = -4z + 4z

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

Combine like terms: -4z + 4z = 0
6 + 5z = 0

Add '-6' to each side of the equation.
6 + -6 + 5z = 0 + -6

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

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

Divide each side by '5'.
z = -1.2

Simplifying
z = -1.2