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? keep going. solve the equation below, or solve on paper and enter your answer on zearn. 10q - 6q + 2 = 2q - 6 4q + 2 = 2q - 6 -2q -2q 2q + 2 = -6 q = \square

Explanation:

Step1: Combine like terms on left

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

Step2: Subtract $2q$ from both sides

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

Step3: Subtract 2 from both sides

$2q + 2 - 2 = -6 - 2$
$2q = -8$

Step4: Divide by 2 on both sides

$\frac{2q}{2} = \frac{-8}{2}$
$q = -4$

Answer:

$q = -4$