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1-2/3(1/2+2q)=q/3
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Explanation & Answer
1 - 2/3(1/2 + 2q) = q/3
Now multiply by 3 on both sides,we get
3 * 1 - 2/3(1/2 + 2q) = 3 * q/3
Now
3 - 2(1/2 + 2q) = q
Now we solve the bracket, then
3 - 2[(1 + 4q)/2] = q
Now
3 - (1 + 4q) = q
Now multiply minus int he bracket which will change the signs of terms in the bracket, then
3 - 1 - 4q = q
Now add 4q on both sides, we get
3 - 1 - 4q + 4q = q + 4q
3 - 1 = 5q
2 = 5q
Now divide by 5 on both sides,we get
2/5 = 5q/5
2/5 = q
Hence q = 2/5
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