Solve the equation. Check your answer.(. a fraction.)
-4(r+7)=-79
r=
r = 6
To solve the equation -4(r + 7) = -79, we will follow these steps:
Step 1: Distribute the -4 to terms inside the parentheses.
-4(r + 7) will become -4r - 28, since multiplying -4 by r gives -4r, and multiplying -4 by 7 gives -28.
Step 2: Now we have -4r - 28 = -79.
Step 3: Next, we need to isolate the variable r. To do that, we'll move the constant term (-28) to the other side of the equation by adding 28 to both sides:
-4r - 28 + 28 = -79 + 28
-4r = -51
Step 4: Finally, to find the value of r, we will divide both sides of the equation by -4, as -4 is multiplying the variable r:
-4r / -4 = -51 / -4
r = 12.75
Checking our answer:
Plug the value of r back into the original equation: -4(r + 7) = -79
-4(12.75 + 7) = -79
-4(19.75) = -79
-79 = -79
The equation is satisfied, and the answer is r = 12.75.
To solve the equation -4(r + 7) = -79 for r, we will proceed with the following steps:
1. Distribute the -4 to both terms inside the parentheses: -4r - 28 = -79.
2. To isolate the variable term, we will add 28 to both sides of the equation: -4r - 28 + 28 = -79 + 28.
Simplifying both sides, we get: -4r = -51.
3. Next, we divide both sides of the equation by -4 to solve for r: (-4r) / -4 = (-51) / -4.
Simplifying both sides gives us: r = 12.75.
Therefore, the solution to the equation -4(r + 7) = -79 is r = 12.75.
To check our answer, we substitute the value of r back into the original equation:
-4(12.75 + 7) = -79.
Simplifying both sides, we get: -4(19.75) = -79.
Further simplifying, we get: -79 = -79.
Since both sides of the equation are equal, the solution r = 12.75 is correct.