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

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

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

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

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

Reorder the terms:
-6 + -3z = -4(2 + z)
-6 + -3z = (2 * -4 + z * -4)
-6 + -3z = (-8 + -4z)

Solving
-6 + -3z = -8 + -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 = -8 + -4z + 4z

Combine like terms: -3z + 4z = 1z
-6 + 1z = -8 + -4z + 4z

Combine like terms: -4z + 4z = 0
-6 + 1z = -8 + 0
-6 + 1z = -8

Add '6' to each side of the equation.
-6 + 6 + 1z = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 1z = -8 + 6
1z = -8 + 6

Combine like terms: -8 + 6 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2