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.)
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.
To solve the equation "(-4(r + 7)) = -79," we can follow these steps:
1. Distribute the -4 to both terms inside the parentheses:
-4 * r + (-4) * 7 = -79
This simplifies to:
-4r - 28 = -79
2. To isolate the variable, we need to move the constant term (-28) to the right side of the equation. We can do this by adding +28 to both sides:
-4r - 28 + 28 = -79 + 28
Simplifying this equation:
-4r = -51
3. Finally, to solve for r, we need to isolate it by dividing both sides of the equation by -4:
-4r / -4 = -51 / -4
Simplifying further:
r = 51/4
Therefore, the solution to the equation is r = 51/4.
To check this solution, substitute r = 51/4 back into the original equation:
(-4((51/4) + 7)) = -79
Simplifying:
(-4((51 + 28)/4)) = -79
(-4(79/4)) = -79
(79 * -1) = -79
Since both sides of the equation are equal to -79, we can conclude that the solution is correct.
To solve the equation `-4(r + 7) = -79` for r, we follow these steps:
Step 1: Distribute the -4 across the parentheses by multiplying each term inside the parentheses by -4:
-4 * r + (-4) * 7 = -79
Step 2: Simplify by performing the multiplication:
-4r - 28 = -79
Step 3: Move the constant term (-28) to the right side of the equation by adding 28 to both sides:
-4r = -79 + 28
Simplifying further:
-4r = -51
Step 4: Finally, divide both sides of the equation by -4 to solve for r:
(-4r) / -4 = (-51) / -4
Simplifying:
r = 12.75
Therefore, the solution to the equation is r = 12.75.
To check if the answer is correct, substitute r = 12.75 back into the original equation:
-4(12.75 + 7) = -79
Simplifying:
-4(19.75) = -79
-79 = -79
Since both sides are equal, the solution r = 12.75 is correct.