Final answer:
To solve the equation 16-3p=2/3p+5 for the value of p, isolate p on one side of the equation. Simplify the equation, combine like terms, and divide to solve for p. The value of p is 3.
Step-by-step explanation:
To solve the equation 16-3p=2/3p+5 for the value of p, we need to isolate p on one side of the equation. First, we can simplify the equation by multiplying both sides by the common denominator of 3 to eliminate the fractions. This gives us:
48 - 9p = 2p + 15
Next, we can combine like terms by adding 9p to both sides:
48 = 11p + 15
Then, we can subtract 15 from both sides:
33 = 11p
Finally, we can divide both sides by 11 to solve for p:
p = 3