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9\times 2=2n+7
Variable n cannot be equal to -\frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by 9\left(2n+7\right), the least common multiple of 2n+7,9.
18=2n+7
Multiply 9 and 2 to get 18.
2n+7=18
Swap sides so that all variable terms are on the left hand side.
2n=18-7
Subtract 7 from both sides.
2n=11
Subtract 7 from 18 to get 11.
n=\frac{11}{2}
Divide both sides by 2.