Answer:
z = 30/23
Step-by-step explanation:
Solve for z over the real numbers:
6/z - 3 = 8/5
Bring 6/z - 3 together using the common denominator z:
-(3 (z - 2))/z = 8/5
Cross multiply:
-15 (z - 2) = 8 z
Expand out terms of the left hand side:
30 - 15 z = 8 z
Subtract 8 z + 30 from both sides:
-23 z = -30
Divide both sides by -23:
Answer: z = 30/23