-4(z+5)-(3-3z)=-2z

Solution for -4(z+5)-(3-3z)=-2z equation:

Simplifying
-4(z + 5) + -1(3 + -3z) = -2z

Reorder the terms:
-4(5 + z) + -1(3 + -3z) = -2z
(5 * -4 + z * -4) + -1(3 + -3z) = -2z
(-20 + -4z) + -1(3 + -3z) = -2z
-20 + -4z + (3 * -1 + -3z * -1) = -2z
-20 + -4z + (-3 + 3z) = -2z

Reorder the terms:
-20 + -3 + -4z + 3z = -2z

Combine like terms: -20 + -3 = -23
-23 + -4z + 3z = -2z

Combine like terms: -4z + 3z = -1z
-23 + -1z = -2z

Solving
-23 + -1z = -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.
-23 + -1z + 2z = -2z + 2z

Combine like terms: -1z + 2z = 1z
-23 + 1z = -2z + 2z

Combine like terms: -2z + 2z = 0
-23 + 1z = 0

Add '23' to each side of the equation.
-23 + 23 + 1z = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 1z = 0 + 23
1z = 0 + 23

Combine like terms: 0 + 23 = 23
1z = 23

Divide each side by '1'.
z = 23

Simplifying
z = 23