Answer:
Explanation:
When you have an equation where the variable that you are solving for is inside of an absolute value, you want to make sure that the absolute value is on one side of the equation by itself. For this problem, that is the case, so we don't need to do any additional setup.
With absolute values, we know that the inside can be a positive or negative number and the result will always be the same. For example in this problem, we know that everything inside of the absolute value must equal 3 or -3, because the absolute value of both 3 and -3 is still 3.
With this information, we have the following equations:
2k + 7 = 3
2k + 7 = -3
Subtracting 7 from both sides will give us the following:
2k = -4
2k = -10
Dividing both sides from 2 will give us the following:
k = -2
k = -5