5(z+9)-(3+9z)=-5z

Solution for 5(z+9)-(3+9z)=-5z equation:

Simplifying
5(z + 9) + -1(3 + 9z) = -5z

Reorder the terms:
5(9 + z) + -1(3 + 9z) = -5z
(9 * 5 + z * 5) + -1(3 + 9z) = -5z
(45 + 5z) + -1(3 + 9z) = -5z
45 + 5z + (3 * -1 + 9z * -1) = -5z
45 + 5z + (-3 + -9z) = -5z

Reorder the terms:
45 + -3 + 5z + -9z = -5z

Combine like terms: 45 + -3 = 42
42 + 5z + -9z = -5z

Combine like terms: 5z + -9z = -4z
42 + -4z = -5z

Solving
42 + -4z = -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
42 + -4z + 5z = -5z + 5z

Combine like terms: -4z + 5z = 1z
42 + 1z = -5z + 5z

Combine like terms: -5z + 5z = 0
42 + 1z = 0

Add '-42' to each side of the equation.
42 + -42 + 1z = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 1z = 0 + -42
1z = 0 + -42

Combine like terms: 0 + -42 = -42
1z = -42

Divide each side by '1'.
z = -42

Simplifying
z = -42