Solve 2a+7(-16/9)=8

$$2 a + 7 ( \frac { - 16 } { 9 } ) = 8$$

Solve for a

$$a = \frac{92}{9} = 10\frac{2}{9} \approx 10.222222222$$

Steps for Solving Linear Equation

Fraction \frac{-16}{9} can be rewritten as -\frac{16}{9} by extracting the negative sign.

$$2a+7\left(-\frac{16}{9}\right)=8$$

Express 7\left(-\frac{16}{9}\right) as a single fraction.

$$2a+\frac{7\left(-16\right)}{9}=8$$

Multiply 7 and -16 to get -112.

$$2a+\frac{-112}{9}=8$$

Fraction \frac{-112}{9} can be rewritten as -\frac{112}{9} by extracting the negative sign.

$$2a-\frac{112}{9}=8$$

Add \frac{112}{9} to both sides.

$$2a=8+\frac{112}{9}$$

Convert 8 to fraction \frac{72}{9}.

$$2a=\frac{72}{9}+\frac{112}{9}$$

Since \frac{72}{9} and \frac{112}{9} have the same denominator, add them by adding their numerators.

$$2a=\frac{72+112}{9}$$

Add 72 and 112 to get 184.

$$2a=\frac{184}{9}$$

Divide both sides by 2.

$$a=\frac{\frac{184}{9}}{2}$$

Express \frac{\frac{184}{9}}{2} as a single fraction.

$$a=\frac{184}{9\times 2}$$

Multiply 9 and 2 to get 18.

$$a=\frac{184}{18}$$

Reduce the fraction \frac{184}{18} to lowest terms by extracting and canceling out 2.

$$a=\frac{92}{9}$$