Solve -19n+8n=-(n+18)-14(n-5)

$$- 19 n + 8 n = - ( n + 18 ) - 14 ( n - 5 )$$

Solve for n

$$n=13$$

Steps for Solving Linear Equation

Combine -19n and 8n to get -11n.

$$-11n=-\left(n+18\right)-14\left(n-5\right)$$

To find the opposite of n+18, find the opposite of each term.

$$-11n=-n-18-14\left(n-5\right)$$

Use the distributive property to multiply -14 by n-5.

$$-11n=-n-18-14n+70$$

Combine -n and -14n to get -15n.

$$-11n=-15n-18+70$$

Add -18 and 70 to get 52.

$$-11n=-15n+52$$

Add 15n to both sides.

$$-11n+15n=52$$

Combine -11n and 15n to get 4n.

$$4n=52$$

Divide both sides by 4.

$$n=\frac{52}{4}$$

Divide 52 by 4 to get 13.

$$n=13$$