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1. Distribute the fraction (3/4) over (n-6).
This should give you the new equation: n - (5/2) > (3/4)n - 4.5
2. Now combine like terms. This means put all the numbers that are being multiplied by X together, and all the numbers together.
First, isolate n. To get n alone, we can make the other number next to it (- 5/2) zero. We do this by adding the opposite of the number to it. So (-5/2) plus (5/2) gives you zero.
Now you have n all alone on the left side of the equation. But because you added a number to one side, you must do it to the other to keep the equation balanced.
So now add 5/2 to the other side. You'll get:
n > (3/4)n - (4.5 + 5/2)
Because 5/2 is the same as 2.5:
n > (3/4)n - (7)
Now, put both n's on the same side to combine like terms. To get (3/4)n away from the right side of the equation, subtract it by (3/4)n to get zero on the right side. Now do the same thing to the left side.
n - (3/4n) > -7
1 entire n subtracted by 3-fourths of another n leaves you with one-fourths n.
1/4n > -7
Now, complete the problem by isolating the n completely.
Divide both sides by 1/4.
This will give you:
n > -28
Hope it helped (and wasn't too late)!