-2(z+3)-z=-z-4(z+z)

Solution for -2(z+3)-z=-z-4(z+z) equation:

Simplifying
-2(z + 3) + -1z = -1z + -4(z + z)

Reorder the terms:
-2(3 + z) + -1z = -1z + -4(z + z)
(3 * -2 + z * -2) + -1z = -1z + -4(z + z)
(-6 + -2z) + -1z = -1z + -4(z + z)

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

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

Remove parenthesis around (2z)
-6 + -3z = -1z + -4 * 2z

Multiply -4 * 2
-6 + -3z = -1z + -8z

Combine like terms: -1z + -8z = -9z
-6 + -3z = -9z

Solving
-6 + -3z = -9z

Solving for variable 'z'.

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

Add '9z' to each side of the equation.
-6 + -3z + 9z = -9z + 9z

Combine like terms: -3z + 9z = 6z
-6 + 6z = -9z + 9z

Combine like terms: -9z + 9z = 0
-6 + 6z = 0

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

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

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

Divide each side by '6'.
z = 1

Simplifying
z = 1