Solve the equation. Check your answer.

negative 4 left parenthesis r plus 7 right parenthesis equals negative 79
Question content area bottom
Part 1
requals
6
​(Simplify your answer. Type an integer or a​ fraction.)

1 answer

To solve the equation "-4(r+7) = -79", we will first distribute the -4:

-4r - 4(7) = -79

This simplifies to:

-4r - 28 = -79

Next, we will isolate the variable r by adding 28 to both sides:

-4r = -79 + 28
-4r = -51

Finally, we can solve for r by dividing both sides by -4:

r = -51 / -4
r = 12.75

To check our answer, we substitute 12.75 back into the original equation:

-4(12.75 + 7) = -79
-4(19.75) = -79
-79 = -79

Since both sides are equal, our solution of r = 12.75 is correct.