Solve Q_{n}=13+(n-1)*7

$$Q _ { n } = 13 + ( n - 1 ) \cdot 7$$

Solve for Q_n

$$Q_{n}=7n+6$$

Solution Steps

Use the distributive property to multiply n-1 by 7.

$$Q_{n}=13+7n-7$$

Subtract 7 from 13 to get 6.

$$Q_{n}=6+7n$$

Solve for n

$$n=\frac{Q_{n}-6}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply n-1 by 7.

$$Q_{n}=13+7n-7$$

Subtract 7 from 13 to get 6.

$$Q_{n}=6+7n$$

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

$$6+7n=Q_{n}$$

Subtract 6 from both sides.

$$7n=Q_{n}-6$$

Divide both sides by 7.

$$\frac{7n}{7}=\frac{Q_{n}-6}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$n=\frac{Q_{n}-6}{7}$$