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

$$6 ( 3 a + 6 ) - 2 ( 4 a - 2 ) = 4$$

Solve for a

$$a = -\frac{18}{5} = -3\frac{3}{5} = -3.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3a+6.

$$18a+36-2\left(4a-2\right)=4$$

Use the distributive property to multiply -2 by 4a-2.

$$18a+36-8a+4=4$$

Combine 18a and -8a to get 10a.

$$10a+36+4=4$$

Add 36 and 4 to get 40.

$$10a+40=4$$

Subtract 40 from both sides.

$$10a=4-40$$

Subtract 40 from 4 to get -36.

$$10a=-36$$

Divide both sides by 10.

$$a=\frac{-36}{10}$$

Reduce the fraction \frac{-36}{10} to lowest terms by extracting and canceling out 2.

$$a=-\frac{18}{5}$$