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3/4(a-2) - 1/3(5-2a)= -2
First put everything in fraction form.
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Now find a common denominator between 4 and 3, which is 12. This gives:
(9(a-2) - 4(5-2a))/12 = -2
Multiply both sides by 12 to get rid of the fraction.
9(a-2) - 4(5-2a) = -24
Multiply the 9 and the -4 into the brackets.
9a-18 - 20 + 8a = -24
Isolate a
9a + 8a = -24 + 18 + 20
17 a = 14
a = 14/17
To check your answer, you can sub in 14/17 where a is in the original equation and check that it does equal -2. It does, so it works!
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