Answer:
n < 2p + 7k - 4
Step-by-step explanation:
Isolate the variable, n. Do the opposite of PEMDAS. Treat the > like an equal sign, what you do to one side, you do to the other.
First, subtract 21k and 9p from both sides:
21k (-21k) - 3n + 9p (-9p) > 3p (-9p) + 12 (-21k)
-3n > (3p - 9p) - 21k + 12
Simplify. Combine like terms:
-3n > (3p - 9p) - 21k + 12
-3n > (-6p) - 21k + 12
-3n > -6p - 21k + 12
Isolate the variable, n. Note that when you divide by -3, you divide from all terms, and you flip the sign:
(-3n)/-3 > (-6p - 21k + 12)/-3
n < (-6p - 21k + 12)/-3
n < (-6p)/-3 + (-21k)/-3 + (12/-3)
n < 2p + 7k - 4
n < 2p + 7k - 4 is your answer.
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