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6\left(300+a\right)=13\times 300
Multiply both sides of the equation by 234, the least common multiple of 39,18.
1800+6a=13\times 300
Use the distributive property to multiply 6 by 300+a.
1800+6a=3900
Multiply 13 and 300 to get 3900.
6a=3900-1800
Subtract 1800 from both sides.
6a=2100
Subtract 1800 from 3900 to get 2100.
a=\frac{2100}{6}
Divide both sides by 6.
a=350
Divide 2100 by 6 to get 350.