Solve 4.7+10.8n+7.8=20.9323+13.079n

$$4.7 + 10.8 n + 7.8 = 20.9323 + 13.079 n$$

Solve for n

$$n=-3.7$$

Steps for Solving Linear Equation

Add 4.7 and 7.8 to get 12.5.

$$12.5+10.8n=20.9323+13.079n$$

Subtract 13.079n from both sides.

$$12.5+10.8n-13.079n=20.9323$$

Combine 10.8n and -13.079n to get -2.279n.

$$12.5-2.279n=20.9323$$

Subtract 12.5 from both sides.

$$-2.279n=20.9323-12.5$$

Subtract 12.5 from 20.9323 to get 8.4323.

$$-2.279n=8.4323$$

Divide both sides by -2.279.

$$n=\frac{8.4323}{-2.279}$$

Expand \frac{8.4323}{-2.279} by multiplying both numerator and the denominator by 10000.

$$n=\frac{84323}{-22790}$$

Reduce the fraction \frac{84323}{-22790} to lowest terms by extracting and canceling out 2279.

$$n=-\frac{37}{10}$$