Solve 95.4=9(m+2.2)

$$95.4 = 9 ( m + 2.2 )$$

Solve for m

$$m=8.4$$

Steps for Solving Linear Equation

Divide both sides by 9.

$$\frac{95.4}{9}=m+2.2$$

Expand \frac{95.4}{9} by multiplying both numerator and the denominator by 10.

$$\frac{954}{90}=m+2.2$$

Reduce the fraction \frac{954}{90} to lowest terms by extracting and canceling out 18.

$$\frac{53}{5}=m+2.2$$

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

$$m+2.2=\frac{53}{5}$$

Subtract 2.2 from both sides.

$$m=\frac{53}{5}-2.2$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$m=\frac{53}{5}-\frac{11}{5}$$

Since \frac{53}{5} and \frac{11}{5} have the same denominator, subtract them by subtracting their numerators.

$$m=\frac{53-11}{5}$$

Subtract 11 from 53 to get 42.

$$m=\frac{42}{5}$$