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To solve the inequality, first we isolate the variable n by moving the constant term -12 to the right side:
4/5n - 12 > 24
4/5n > 36
Next, we multiply both sides of the inequality by 5 to get rid of the fraction:
5 * (4/5n) > 5 * 36
4n > 180
Finally, we divide both sides of the inequality by 4 to solve for n:
(4n)/4 > 180/4
n > 45
Therefore, the solution to the inequality is n > 45.