4(z-9)-(5+5z)=-2z

Solution for 4(z-9)-(5+5z)=-2z equation:

Simplifying
4(z + -9) + -1(5 + 5z) = -2z

Reorder the terms:
4(-9 + z) + -1(5 + 5z) = -2z
(-9 * 4 + z * 4) + -1(5 + 5z) = -2z
(-36 + 4z) + -1(5 + 5z) = -2z
-36 + 4z + (5 * -1 + 5z * -1) = -2z
-36 + 4z + (-5 + -5z) = -2z

Reorder the terms:
-36 + -5 + 4z + -5z = -2z

Combine like terms: -36 + -5 = -41
-41 + 4z + -5z = -2z

Combine like terms: 4z + -5z = -1z
-41 + -1z = -2z

Solving
-41 + -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.
-41 + -1z + 2z = -2z + 2z

Combine like terms: -1z + 2z = 1z
-41 + 1z = -2z + 2z

Combine like terms: -2z + 2z = 0
-41 + 1z = 0

Add '41' to each side of the equation.
-41 + 41 + 1z = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 1z = 0 + 41
1z = 0 + 41

Combine like terms: 0 + 41 = 41
1z = 41

Divide each side by '1'.
z = 41

Simplifying
z = 41