Solve -6.3(-3.5m-1.1)=-107.73

$$- 6.3 ( - 3.5 m - 1.1 ) = - 107.73$$

Solve for m

$$m=-5.2$$

Steps for Solving Linear Equation

Divide both sides by -6.3.

$$-3.5m-1.1=\frac{-107.73}{-6.3}$$

Expand \frac{-107.73}{-6.3} by multiplying both numerator and the denominator by 100.

$$-3.5m-1.1=\frac{-10773}{-630}$$

Reduce the fraction \frac{-10773}{-630} to lowest terms by extracting and canceling out -63.

$$-3.5m-1.1=\frac{171}{10}$$

Add 1.1 to both sides.

$$-3.5m=\frac{171}{10}+1.1$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$-3.5m=\frac{171}{10}+\frac{11}{10}$$

Since \frac{171}{10} and \frac{11}{10} have the same denominator, add them by adding their numerators.

$$-3.5m=\frac{171+11}{10}$$

Add 171 and 11 to get 182.

$$-3.5m=\frac{182}{10}$$

Reduce the fraction \frac{182}{10} to lowest terms by extracting and canceling out 2.

$$-3.5m=\frac{91}{5}$$

Divide both sides by -3.5.

$$m=\frac{\frac{91}{5}}{-3.5}$$

Express \frac{\frac{91}{5}}{-3.5} as a single fraction.

$$m=\frac{91}{5\left(-3.5\right)}$$

Multiply 5 and -3.5 to get -17.5.

$$m=\frac{91}{-17.5}$$

Expand \frac{91}{-17.5} by multiplying both numerator and the denominator by 10.

$$m=\frac{910}{-175}$$

Reduce the fraction \frac{910}{-175} to lowest terms by extracting and canceling out 35.

$$m=-\frac{26}{5}$$