Solve 66.5=7(m+3.3)

$$66.5 = 7 ( m + 3.3 )$$

Solve for m

$$m=6.2$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$\frac{66.5}{7}=m+3.3$$

Expand \frac{66.5}{7} by multiplying both numerator and the denominator by 10.

$$\frac{665}{70}=m+3.3$$

Reduce the fraction \frac{665}{70} to lowest terms by extracting and canceling out 35.

$$\frac{19}{2}=m+3.3$$

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

$$m+3.3=\frac{19}{2}$$

Subtract 3.3 from both sides.

$$m=\frac{19}{2}-3.3$$

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$m=\frac{19}{2}-\frac{33}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{19}{2} and \frac{33}{10} to fractions with denominator 10.

$$m=\frac{95}{10}-\frac{33}{10}$$

Since \frac{95}{10} and \frac{33}{10} have the same denominator, subtract them by subtracting their numerators.

$$m=\frac{95-33}{10}$$

Subtract 33 from 95 to get 62.

$$m=\frac{62}{10}$$

Reduce the fraction \frac{62}{10} to lowest terms by extracting and canceling out 2.

$$m=\frac{31}{5}$$