Solve n+n+1=9(n+2)+2

$$n + n + 1 = 9 ( n + 2 ) + 2$$

Solve for n

$$n = -\frac{19}{7} = -2\frac{5}{7} \approx -2.714285714$$

Steps for Solving Linear Equation

Combine n and n to get 2n.

$$2n+1=9\left(n+2\right)+2$$

Use the distributive property to multiply 9 by n+2.

$$2n+1=9n+18+2$$

Add 18 and 2 to get 20.

$$2n+1=9n+20$$

Subtract 9n from both sides.

$$2n+1-9n=20$$

Combine 2n and -9n to get -7n.

$$-7n+1=20$$

Subtract 1 from both sides.

$$-7n=20-1$$

Subtract 1 from 20 to get 19.

$$-7n=19$$

Divide both sides by -7.

$$n=\frac{19}{-7}$$

Fraction \frac{19}{-7} can be rewritten as -\frac{19}{7} by extracting the negative sign.

$$n=-\frac{19}{7}$$