Question

sometimes, it can be helpful to rewrite part of an equation by using the distributive property or combining like terms. consider the equation below with that in mind. what is the value of q? now, keep going. to continue solving this equation, it can be helpful to get all of the variables to one side, and all of the numbers to the other side. what move can you make next to move all of the variables to the left, while keeping the equation balanced?
10q - 6q + 2 = 2q - 6
4q + 2 = 2q - 6
options: add 2q to both sides; subtract 2q from both sides

Explanation:

Step1: Combine like terms on left

$10q - 6q + 2 = 4q + 2$

Step2: Move variables to left side

Subtract $2q$ from both sides:
$4q + 2 - 2q = 2q - 6 - 2q$
$2q + 2 = -6$

Step3: Isolate the variable term

Subtract 2 from both sides:
$2q + 2 - 2 = -6 - 2$
$2q = -8$

Step4: Solve for q

Divide both sides by 2:
$\frac{2q}{2} = \frac{-8}{2}$

Answer:

Next valid move:

Subtract 2q from both sides

Value of q:

$q = -4$