Solve 8(15/51)+4B=-80

$$8 ( \frac { 15 } { 51 } ) + 4 B = - 80$$

Solve for B

$$B = -\frac{350}{17} = -20\frac{10}{17} \approx -20.588235294$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{51} to lowest terms by extracting and canceling out 3.

$$8\times \frac{5}{17}+4B=-80$$

Express 8\times \frac{5}{17} as a single fraction.

$$\frac{8\times 5}{17}+4B=-80$$

Multiply 8 and 5 to get 40.

$$\frac{40}{17}+4B=-80$$

Subtract \frac{40}{17} from both sides.

$$4B=-80-\frac{40}{17}$$

Convert -80 to fraction -\frac{1360}{17}.

$$4B=-\frac{1360}{17}-\frac{40}{17}$$

Since -\frac{1360}{17} and \frac{40}{17} have the same denominator, subtract them by subtracting their numerators.

$$4B=\frac{-1360-40}{17}$$

Subtract 40 from -1360 to get -1400.

$$4B=-\frac{1400}{17}$$

Divide both sides by 4.

$$B=\frac{-\frac{1400}{17}}{4}$$

Express \frac{-\frac{1400}{17}}{4} as a single fraction.

$$B=\frac{-1400}{17\times 4}$$

Multiply 17 and 4 to get 68.

$$B=\frac{-1400}{68}$$

Reduce the fraction \frac{-1400}{68} to lowest terms by extracting and canceling out 4.

$$B=-\frac{350}{17}$$