translate into a variable expression. n increased by the difference between 15 times n and 5

Explanation:

Step1: Analyze "15 times (n)"

"15 times (n)" is (15n).

Step2: Analyze "the difference between 15 times (n) and 5"

The difference between (15n) and 5 is (15n - 5).

Step3: Analyze "(n) increased by the difference"

"(n) increased by" means we add (n) to the previous result. So the expression is (n+(15n - 5)).

Step4: Simplify the expression

Combine like - terms: (n+15n-5=(1 + 15)n-5=16n-5).

Answer:

(16n - 5)