Solve R=a-3-2(a+3)

$$R = a - 3 - 2 ( a + 3 )$$

Solve for R

$$R=-\left(a+9\right)$$

Solution Steps

Use the distributive property to multiply -2 by a+3.

$$R=a-3-2a-6$$

Combine a and -2a to get -a.

$$R=-a-3-6$$

Subtract 6 from -3 to get -9.

$$R=-a-9$$

Solve for a

$$a=-R-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by a+3.

$$R=a-3-2a-6$$

Combine a and -2a to get -a.

$$R=-a-3-6$$

Subtract 6 from -3 to get -9.

$$R=-a-9$$

Swap sides so that all variable terms are on the left hand side.

$$-a-9=R$$

Add 9 to both sides.

$$-a=R+9$$

Divide both sides by -1.

$$\frac{-a}{-1}=\frac{R+9}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$a=\frac{R+9}{-1}$$

Divide R+9 by -1.

$$a=-\left(R+9\right)$$