Solve each expression

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ynatqneol

Mathematics

Description

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


Anonymous
Awesome! Perfect study aid.

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