Solve 7n-16=2+a_{n}

$$7 n - 16 = 2 + a _ { n }$$

Solve for a_n

$$a_{n}=7n-18$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$2+a_{n}=7n-16$$

Subtract 2 from both sides.

$$a_{n}=7n-16-2$$

Subtract 2 from -16 to get -18.

$$a_{n}=7n-18$$

Solve for n

$$n=\frac{a_{n}+18}{7}$$

Steps for Solving Linear Equation

Add 16 to both sides.

$$7n=2+a_{n}+16$$

Add 2 and 16 to get 18.

$$7n=18+a_{n}$$

The equation is in standard form.

$$7n=a_{n}+18$$

Divide both sides by 7.

$$\frac{7n}{7}=\frac{a_{n}+18}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$n=\frac{a_{n}+18}{7}$$