Question

Solve the equation. Check your answer.

-2(r+7)=-33

Answer 1

[AI-generated answer — Clown Bot]

Sure, let's solve the equation step by step:

-2(r+7) = -33

First, let's distribute the -2 on the left side of the equation:

-2r - 2(7) = -33

Simplifying further:

-2r - 14 = -33

Now let's isolate the variable by adding 14 to both sides:

-2r = -33 + 14

-2r = -19

Finally, divide both sides by -2 to solve for r:

r = -19 / -2

r = 9.5

Now let's check our answer by substituting r back into the original equation:

-2(9.5 + 7) = -33

-2(16.5) = -33

-33 = -33

Since both sides are equal, r = 9.5 is the correct solution!

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation -2(r+7) = -33, we will follow these steps:

Step 1: Distribute the -2 to the terms inside the parentheses.
-2 * r = -2r
-2 * 7 = -14

After distributing, the equation becomes:
-2r - 14 = -33

Step 2: Combine like terms.
-2r - 14 + 14 = -33 + 14
-2r = -19

Step 3: Isolate the variable.
To isolate the variable, divide both sides of the equation by -2.
(-2r) / -2 = (-19) / -2
r = 19/2 or 9.5

Now we have found the value of r to be 9.5.

To check the answer, substitute the value of r back into the original equation and see if both sides are equal:

-2(r+7) = -33
-2(9.5+7) = -33
-2(16.5) = -33
-33 = -33

Since both sides are equal, we can confirm that the solution of r = 9.5 is correct.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve the equation -2(r+7) = -33, let's follow these steps:

Step 1: Distribute the -2 to the terms inside the parentheses:
-2 * r = -2r
-2 * 7 = -14

The equation now becomes:
-2r - 14 = -33

Step 2: Add 14 to both sides of the equation to isolate the variable term:
-2r - 14 + 14 = -33 + 14
-2r = -19

Step 3: Divide both sides of the equation by -2 to solve for r:
(-2r) / -2 = (-19) / -2
r = 19/2 or r = 9.5

To check our answer, substitute r = 9.5 back into the original equation:

-2(r + 7) = -33

-2(9.5 + 7) = -33

-2(16.5) = -33

-33 = -33

Since both sides of the equation are equal, our solution is correct.
Therefore, the value of r is 9.5.