Final answer:
To solve the equation (9/5) = -15p for p, multiply both sides by -(1/15), resulting in p = -(3/25).
Step-by-step explanation:
The student has presented an equation using the multiplication principle to solve for a variable p. The given equation is (9/5) = -15p. To solve for p, one would multiply both sides of the equation by the reciprocal of -15, which is -(1/15), to isolate p on one side. Thus, the solution is found by:
(9/5) × -(1/15) = -15p × -(1/15)
When simplified, this results in:
p = -((9/5) × (1/15))
p = -((9 × 1)/(5 × 15))
p = -((9)/(75))
p = -(3/25)