Solve 20.78=8+(n-1)1.78

$$20.78 = 8 + ( n - 1 ) 1.78$$

Solve for n

$$n = \frac{728}{89} = 8\frac{16}{89} \approx 8.179775281$$

Steps for Solving Linear Equation

Use the distributive property to multiply n-1 by 1.78.

$$20.78=8+1.78n-1.78$$

Subtract 1.78 from 8 to get 6.22.

$$20.78=6.22+1.78n$$

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

$$6.22+1.78n=20.78$$

Subtract 6.22 from both sides.

$$1.78n=20.78-6.22$$

Subtract 6.22 from 20.78 to get 14.56.

$$1.78n=14.56$$

Divide both sides by 1.78.

$$n=\frac{14.56}{1.78}$$

Expand \frac{14.56}{1.78} by multiplying both numerator and the denominator by 100.

$$n=\frac{1456}{178}$$

Reduce the fraction \frac{1456}{178} to lowest terms by extracting and canceling out 2.

$$n=\frac{728}{89}$$