Solve 18=5.2+(n-1)d

$$18 = 5.2 + ( n - 1 ) d$$

Solve for d

$$d=\frac{64}{5\left(n-1\right)}$$

$$n\neq 1$$

Steps for Solving Linear Equation

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

$$18=5.2+nd-d$$

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

$$5.2+nd-d=18$$

Subtract 5.2 from both sides.

$$nd-d=18-5.2$$

Subtract 5.2 from 18 to get 12.8.

$$nd-d=12.8$$

Combine all terms containing d.

$$\left(n-1\right)d=12.8$$

The equation is in standard form.

$$\left(n-1\right)d=\frac{64}{5}$$

Divide both sides by n-1.

$$\frac{\left(n-1\right)d}{n-1}=\frac{\frac{64}{5}}{n-1}$$

Dividing by n-1 undoes the multiplication by n-1.

$$d=\frac{\frac{64}{5}}{n-1}$$

Divide \frac{64}{5} by n-1.

$$d=\frac{64}{5\left(n-1\right)}$$

Solve for n

$$n=1+\frac{64}{5d}$$

$$d\neq 0$$

Steps for Solving Linear Equation

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

$$18=5.2+nd-d$$

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

$$5.2+nd-d=18$$

Subtract 5.2 from both sides.

$$nd-d=18-5.2$$

Subtract 5.2 from 18 to get 12.8.

$$nd-d=12.8$$

Add d to both sides.

$$nd=12.8+d$$

The equation is in standard form.

$$dn=d+\frac{64}{5}$$

Divide both sides by d.

$$\frac{dn}{d}=\frac{d+\frac{64}{5}}{d}$$

Dividing by d undoes the multiplication by d.

$$n=\frac{d+\frac{64}{5}}{d}$$

Divide d+\frac{64}{5} by d.

$$n=1+\frac{64}{5d}$$