Solve for a_n
a_{n}=7\left(n+2\right)
Solve for n
n=\frac{a_{n}-14}{7}
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a_{n}=7+7n+7
Use the distributive property to multiply 7 by n+1.
a_{n}=14+7n
Add 7 and 7 to get 14.
a_{n}=7+7n+7
Use the distributive property to multiply 7 by n+1.
a_{n}=14+7n
Add 7 and 7 to get 14.
14+7n=a_{n}
Swap sides so that all variable terms are on the left hand side.
7n=a_{n}-14
Subtract 14 from both sides.
\frac{7n}{7}=\frac{a_{n}-14}{7}
Divide both sides by 7.
n=\frac{a_{n}-14}{7}
Dividing by 7 undoes the multiplication by 7.
n=\frac{a_{n}}{7}-2
Divide a_{n}-14 by 7.
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