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2(2a-5)/9=2-5a
We move all terms to the left:
2(2a-5)/9-(2-5a)=0
We add all the numbers together, and all the variables
2(2a-5)/9-(-5a+2)=0
We get rid of parentheses
2(2a-5)/9+5a-2=0
We multiply all the terms by the denominator
2(2a-5)+5a*9-2*9=0
We add all the numbers together, and all the variables
2(2a-5)+5a*9-18=0
We multiply parentheses
4a+5a*9-10-18=0
Wy multiply elements
4a+45a-10-18=0
We add all the numbers together, and all the variables
49a-28=0
We move all terms containing a to the left, all other terms to the right
49a=28
a=28/49
a=4/7
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