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10 = t/66 + 9
Solving for t means that we manipulate this equation so that t is all by itself on one side of the equals sign.
To start, let's get rid of the 9 on the right side by subtacting it. Of course, whatever arithmetic operation we do to one side of an equation we must do to both sides.
10 - 9 = t/66 + 9 - 9
1 = t/66
If we multiply t/66 by 66 we will get (66/66)*t. 66/66 is equal to 1, so that will isolate t all by itself. As usual, we must multiply BOTH sides by 66.
1*66 = (66/66)*t
This simplifies to:
66 = t
Let's check our answer by substituting 66 for t in the original equation to see if we get a true statement.
10 = t/66 + 9
10 = 66/66 + 9
10 = 1 + 9
10 = 10
This is a true statement, so our answer is correct.
~ Mark