Solve -48=pi/2(2(9)(n-1)-2)

$$- 48 = \frac { \pi } { 2 } ( 2 ( 9 ) ( n - 1 ) - 2 )$$

Solve for n

$$n=-\frac{16}{3\pi }+\frac{10}{9}\approx -0.586541615$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-96=\pi \left(2\times 9\left(n-1\right)-2\right)$$

Multiply 2 and 9 to get 18.

$$-96=\pi \left(18\left(n-1\right)-2\right)$$

Use the distributive property to multiply 18 by n-1.

$$-96=\pi \left(18n-18-2\right)$$

Subtract 2 from -18 to get -20.

$$-96=\pi \left(18n-20\right)$$

Use the distributive property to multiply \pi by 18n-20.

$$-96=18\pi n-20\pi$$

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

$$18\pi n-20\pi =-96$$

Add 20\pi to both sides.

$$18\pi n=-96+20\pi$$

The equation is in standard form.

$$18\pi n=20\pi -96$$

Divide both sides by 18\pi .

$$\frac{18\pi n}{18\pi }=\frac{20\pi -96}{18\pi }$$

Dividing by 18\pi undoes the multiplication by 18\pi .

$$n=\frac{20\pi -96}{18\pi }$$

Divide -96+20\pi by 18\pi .

$$n=-\frac{16}{3\pi }+\frac{10}{9}$$