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How many solutions does the equation have?

6 - a = 1/3 ( 9a - 18 )

A. one solution
B. infinite solutions
C. no solution



Answer :

so first we distribute
1/3(9a-18)
a three can be factored out of (9a-18)=3(3a-6)
so 1/3 times 3(3a-6)=3a-6
so the equation end up as 6-a=3a-6
add 6 to both sides
12-a=3a
add a to both sides
12=4a
divide both sides by 4
3=a
so there is one solution or A

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