Final answer:
To solve for p in the equation -8p = -3 and one-fourth a, divide both sides of the equation by -8. The solution is p = 3/8. Substituting the value of p back into the original equation, we find that it is true.
Step-by-step explanation:
To solve the equation -8p = -3 and one-fourth a, we need to isolate p. Begin by dividing both sides of the equation by -8 to solve for p. This gives us p = -3 / -8. Next, simplify the expression -3 / -8. When we divide a negative number by a negative number, the result is positive. Therefore, -3 / -8 = 3 / 8, which is the value of p.
To check our solution, substitute the value of p into the original equation. -8p = -3 and one-fourth a becomes -8(3 / 8) = -3 and one-fourth a. Simplifying this expression, we get -3 = -3, which is true. Therefore, the solution is correct.