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

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

Solve for a

$$a=4q+3$$

Solution Steps

Add -2 and 3 to get 1.

$$a+1-4q=4$$

Subtract 1 from both sides.

$$a-4q=4-1$$

Subtract 1 from 4 to get 3.

$$a-4q=3$$

Add 4q to both sides.

$$a=3+4q$$

Solve for q

$$q=\frac{a-3}{4}$$

Steps for Solving Linear Equation

Add -2 and 3 to get 1.

$$a+1-4q=4$$

Subtract a from both sides.

$$1-4q=4-a$$

Subtract 1 from both sides.

$$-4q=4-a-1$$

Subtract 1 from 4 to get 3.

$$-4q=3-a$$

Divide both sides by -4.

$$\frac{-4q}{-4}=\frac{3-a}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$q=\frac{3-a}{-4}$$

Divide 3-a by -4.

$$q=\frac{a-3}{4}$$