Question

there are several ways to start solving this equation. there are variables on both sides, and a number on the right side only. so, one way to start is to get all of the variables on one side, and keep the number on the other side. which move can you make to move all of the k terms to the left, while keeping the equation balanced?
$8k = 2k - 18$
add 2k to both sides
add 18 to both sides
subtract 2k from both sides

Explanation:

To move all \( k \)-terms to the left, we need to eliminate the \( 2k \) on the right. Using the subtraction property of equality (subtracting the same term from both sides keeps the equation balanced), subtracting \( 2k \) from both sides will give \( 8k - 2k=2k - 2k- 18 \), simplifying to \( 6k=-18 \), which moves all \( k \)-terms to the left. Adding \( 2k \) would add to the right - side \( k \)-term, and adding \( 18 \) deals with the constant, not the \( k \)-terms.

Answer:

Subtract \( 2k \) from both sides