Solve -0.848=-0.2(6.5n-2)

$$- 0.848 = - 0.2 ( 6.5 n - 2 )$$

Solve for n

$$n=0.96$$

Steps for Solving Linear Equation

Divide both sides by -0.2.

$$\frac{-0.848}{-0.2}=6.5n-2$$

Expand \frac{-0.848}{-0.2} by multiplying both numerator and the denominator by 1000.

$$\frac{-848}{-200}=6.5n-2$$

Reduce the fraction \frac{-848}{-200} to lowest terms by extracting and canceling out -8.

$$\frac{106}{25}=6.5n-2$$

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

$$6.5n-2=\frac{106}{25}$$

Add 2 to both sides.

$$6.5n=\frac{106}{25}+2$$

Convert 2 to fraction \frac{50}{25}.

$$6.5n=\frac{106}{25}+\frac{50}{25}$$

Since \frac{106}{25} and \frac{50}{25} have the same denominator, add them by adding their numerators.

$$6.5n=\frac{106+50}{25}$$

Add 106 and 50 to get 156.

$$6.5n=\frac{156}{25}$$

Divide both sides by 6.5.

$$n=\frac{\frac{156}{25}}{6.5}$$

Express \frac{\frac{156}{25}}{6.5} as a single fraction.

$$n=\frac{156}{25\times 6.5}$$

Multiply 25 and 6.5 to get 162.5.

$$n=\frac{156}{162.5}$$

Expand \frac{156}{162.5} by multiplying both numerator and the denominator by 10.

$$n=\frac{1560}{1625}$$

Reduce the fraction \frac{1560}{1625} to lowest terms by extracting and canceling out 65.

$$n=\frac{24}{25}$$