Solve 2*(-3/4a+6a)=6

$$2 \times ( - \frac { 3 } { 4 } a + 6 a ) = 6$$

Solve for a

$$a=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$-\frac{3}{4}a+6a=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$-\frac{3}{4}a+6a=3$$

Combine -\frac{3}{4}a and 6a to get \frac{21}{4}a.

$$\frac{21}{4}a=3$$

Multiply both sides by \frac{4}{21}, the reciprocal of \frac{21}{4}.

$$a=3\times \frac{4}{21}$$

Express 3\times \frac{4}{21} as a single fraction.

$$a=\frac{3\times 4}{21}$$

Multiply 3 and 4 to get 12.

$$a=\frac{12}{21}$$

Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.

$$a=\frac{4}{7}$$