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? subtract 2k from both sides, then rewrite the equation to represent the remaining values. 10k - 6k + 2 = 2k - 6 4k + 2 = 2k - 6 -2k -2k \boxed{?} = \boxed{?}

Explanation:

Step1: Combine like terms left side

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

Step2: Subtract $2k$ from both sides

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

Step3: Simplify both sides

$2k + 2 = -6$

Step4: Subtract 2 from both sides

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

Step5: Simplify and solve for $k$

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

Answer:

$k = -4$