5(3+z)-(8z+9)=-42

Solution for 5(3+z)-(8z+9)=-42 equation:

Simplifying
5(3 + z) + -1(8z + 9) = -42
(3 * 5 + z * 5) + -1(8z + 9) = -42
(15 + 5z) + -1(8z + 9) = -42

Reorder the terms:
15 + 5z + -1(9 + 8z) = -42
15 + 5z + (9 * -1 + 8z * -1) = -42
15 + 5z + (-9 + -8z) = -42

Reorder the terms:
15 + -9 + 5z + -8z = -42

Combine like terms: 15 + -9 = 6
6 + 5z + -8z = -42

Combine like terms: 5z + -8z = -3z
6 + -3z = -42

Solving
6 + -3z = -42

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + -3z = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -3z = -42 + -6
-3z = -42 + -6

Combine like terms: -42 + -6 = -48
-3z = -48

Divide each side by '-3'.
z = 16

Simplifying
z = 16