Solve -2.8=-1(c-0.65)

$$- 2.8 = - 1 ( c - 0.65 )$$

Solve for c

$$c=3.45$$

Steps for Solving Linear Equation

Divide both sides by -1.

$$\frac{-2.8}{-1}=c-0.65$$

Expand \frac{-2.8}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{-28}{-10}=c-0.65$$

Reduce the fraction \frac{-28}{-10} to lowest terms by extracting and canceling out -2.

$$\frac{14}{5}=c-0.65$$

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

$$c-0.65=\frac{14}{5}$$

Add 0.65 to both sides.

$$c=\frac{14}{5}+0.65$$

Convert decimal number 0.65 to fraction \frac{65}{100}. Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$c=\frac{14}{5}+\frac{13}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{14}{5} and \frac{13}{20} to fractions with denominator 20.

$$c=\frac{56}{20}+\frac{13}{20}$$

Since \frac{56}{20} and \frac{13}{20} have the same denominator, add them by adding their numerators.

$$c=\frac{56+13}{20}$$

Add 56 and 13 to get 69.

$$c=\frac{69}{20}$$