Solve 3(b-9.92)=-8.16

$$3 ( b - 9.92 ) = - 8.16$$

Solve for b

$$b=7.2$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$b-9.92=\frac{-8.16}{3}$$

Expand \frac{-8.16}{3} by multiplying both numerator and the denominator by 100.

$$b-9.92=\frac{-816}{300}$$

Reduce the fraction \frac{-816}{300} to lowest terms by extracting and canceling out 12.

$$b-9.92=-\frac{68}{25}$$

Add 9.92 to both sides.

$$b=-\frac{68}{25}+9.92$$

Convert decimal number 9.92 to fraction \frac{992}{100}. Reduce the fraction \frac{992}{100} to lowest terms by extracting and canceling out 4.

$$b=-\frac{68}{25}+\frac{248}{25}$$

Since -\frac{68}{25} and \frac{248}{25} have the same denominator, add them by adding their numerators.

$$b=\frac{-68+248}{25}$$

Add -68 and 248 to get 180.

$$b=\frac{180}{25}$$

Reduce the fraction \frac{180}{25} to lowest terms by extracting and canceling out 5.

$$b=\frac{36}{5}$$