5(3+z)-(8z+9)=-4z

Solution for 5(3+z)-(8z+9)=-4z equation:

Simplifying
5(3 + z) + -1(8z + 9) = -4z
(3 * 5 + z * 5) + -1(8z + 9) = -4z
(15 + 5z) + -1(8z + 9) = -4z

Reorder the terms:
15 + 5z + -1(9 + 8z) = -4z
15 + 5z + (9 * -1 + 8z * -1) = -4z
15 + 5z + (-9 + -8z) = -4z

Reorder the terms:
15 + -9 + 5z + -8z = -4z

Combine like terms: 15 + -9 = 6
6 + 5z + -8z = -4z

Combine like terms: 5z + -8z = -3z
6 + -3z = -4z

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 1z = 0 + -6

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

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

Divide each side by '1'.
z = -6

Simplifying
z = -6