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6n-3\times 3n+2\times 5n=252
Multiply both sides of the equation by 12, the least common multiple of 2,4,6.
6n-9n+2\times 5n=252
Multiply -3 and 3 to get -9.
-3n+2\times 5n=252
Combine 6n and -9n to get -3n.
-3n+10n=252
Multiply 2 and 5 to get 10.
7n=252
Combine -3n and 10n to get 7n.
n=\frac{252}{7}
Divide both sides by 7.
n=36
Divide 252 by 7 to get 36.