Solve (2a+4)*1-(a+1)*-2=4

$$( 2 a + 4 ) \cdot 1 - ( a + 1 ) \cdot - 2 = 4$$

Solve for a

$$a=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2a+4 by 1.

$$2a+4-\left(a+1\right)\left(-2\right)=4$$

Use the distributive property to multiply a+1 by -2.

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

To find the opposite of -2a-2, find the opposite of each term.

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

The opposite of -2a is 2a.

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

The opposite of -2 is 2.

$$2a+4+2a+2=4$$

Combine 2a and 2a to get 4a.

$$4a+4+2=4$$

Add 4 and 2 to get 6.

$$4a+6=4$$

Subtract 6 from both sides.

$$4a=4-6$$

Subtract 6 from 4 to get -2.

$$4a=-2$$

Divide both sides by 4.

$$a=\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$a=-\frac{1}{2}$$