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 k? 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? 10k - 6k + 2 = 2k - 6 4k + 2 = 2k - 6 add 2k to both sides subtract 2k from both sides

Explanation:

Step1: Combine like terms on left

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

Step2: Subtract $2k$ from both sides

$4k + 2 - 2k = 2k - 6 - 2k$
$2k + 2 = -6$

Step3: Subtract 2 from both sides

$2k + 2 - 2 = -6 - 2$
$2k = -8$

Step4: Divide by 2 on both sides

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

Step5: Identify variable-moving step

To collect variables on the left, subtract $2k$ from both sides to eliminate $2k$ on the right.

Answer:

Next step: Subtract 2k from both sides
Value of $k$: $-4$