1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)
2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)
3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)
4. -6z = z + 72 - 16 (subtract 16 from both sides)
5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)
6. -6z - z = 56 (subtract z from both sides)
7. -7z = 56 (simplify -6z - z to -7z)
8. z = 56/-7 (divide both sides by -7)
9. z = -8. (simplify 56/7 to 8)
So in conclusion your answer to the equation would be -8.
