Solve the equation. Check your answer. not 3
- 5 (r+8) = -66
r=
r = -7
To solve the equation -5(r + 8) = -66, you can follow these steps:
Step 1: Distribute the -5 to the terms inside the parentheses:
-5r - 5(8) = -66
Step 2: Simplify the expression:
-5r - 40 = -66
Step 3: To isolate the variable, add 40 to both sides of the equation:
-5r - 40 + 40 = -66 + 40
-5r = -26
Step 4: Divide both sides by -5 to solve for r:
-5r/-5 = -26/-5
r = 26/5
So, the value of r is 26/5.
To check if the answer is correct, substitute the value of r back into the original equation and check if both sides are equal:
Original equation: -5(r + 8) = -66
Substituting r = 26/5:
-5(26/5 + 8) = -66
Simplifying:
-5(26/5 + 40/5) = -66
-5(66/5) = -66
-330/5 = -66
-66 = -66
Since the left side of the equation is equal to the right side, the solution r = 26/5 is correct.
To solve the equation -5(r+8) = -66, follow the steps below:
Step 1: Distribute -5 to the terms inside the parentheses:
-5r - 5(8) = -66
Step 2: Simplify the equation:
-5r - 40 = -66
Step 3: Add 40 to both sides of the equation to isolate the variable:
-5r - 40 + 40 = -66 + 40
-5r = -26
Step 4: Divide both sides of the equation by -5 to solve for r:
r = -26 / -5
r = 5.2
To check our answer, substitute the value of r into the original equation:
-5(r + 8) = -66
-5(5.2 + 8) = -66
-5(13.2) = -66
-66 = -66
Since the left side of the equation equals the right side, the solution is correct.
Therefore, the solution to the equation -5(r + 8) = -66 is r = 5.2.