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47 = 2a + 33.
First of all let's re-order that for the sake of convenience to:
2a + 33 = 47 (this reads a little better)
Therefore
2a = 47 - 33
(we have moved the + 33 to the other side of the equals sign. When we do this, we have to change a positive number to a negative number and vice versa, so + 33 now becomes - 33; another way to think about it is that what we are actually doing is taking away 33 from both sides of the equation - if we take away 33 from one side we must also take it away from the other side to keep both sides equal to each other)
Therefore
2a = 14
(now we divide both sides of the equation by 2 so that we are left with just "a" on one side)
Therefore
a = 14/2
Therefore
a = 7.
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