Final answer:
To solve the equation "6 less than the quotient of p and -15 is -4", divide p by -15, subtract 6, and set it equal to -4. Solving for p gives p = -30.
Step-by-step explanation:
To solve the equation, "6 less than the quotient of p and -15 is -4", we can break it down into two parts.
The first part is finding the quotient of p and -15.
This means dividing p by -15. Let's represent this quotient as (p / -15).
The second part is subtracting 6 from the quotient. So, we have (p / -15) - 6.
This expression is equal to -4. To solve for p, we can set up the equation:
(p / -15) - 6 = -4
Now, we can solve for p:
(p / -15) = -4 + 6
(p / -15) = 2
To isolate p, we can multiply both sides of the equation by -15:
p = 2 * -15
p = -30