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Inverse operation steps for 19=h/3-8 steps in words

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19 + 8 = h/3or h/3 = 27Multiply both sides by 3h = 27*3 = 81
User Fuechter
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19 = (h/3) - 8

Quick reminder of all the inverse operations!
Normal Operation -> Inverse Operation

Addition -> Subtraction
Subtraction -> Addition

Multiplication -> Division
Division -> Multiplication

With that out of the way, we can move onto the problem at hand!
19 = (h/3) - 8

When trying to solve for a variable you must first get the variables expression alone (In this case the expression (h/3)). To do that in this case we must get rid of a 8 which is being subtracted from (h/3). So the inverse operation of subtraction is addition, thus we add 8 on both sides! Like a so...:

19 + 8 = (h/3) - 8 + 8

The two 8s on the right cancel out, because -8 + 8 = 0.

19 + 8 = (h/3)

Simplify the right side by adding together 19 and 8.

27 = (h/3)

Now we need to get h alone by removing the 3 which it is being divided by. So we use the inverse operation of division which is multiplication.

27 * 3 = (h/3) * 3

The 3s on the right cancel out, because 1/3 * 3 = 1.

27 * 3 = h

81 = h

So! Our final answer is....
h = 81
User Billy Gray
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