Solve the equation.
negative 7 r minus 3 equals negative 4 plus 4 r
Question content area bottom
Part 1
A.one eleventh
one eleventh
B.11
11
C.negative 11
negative 11
D.three sevenths
three sevenths
negative 7 r minus 3 equals negative 4 plus 4 r
Question content area bottom
Part 1
A.one eleventh
one eleventh
B.11
11
C.negative 11
negative 11
D.three sevenths
three sevenths
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \(-7r - 3 = -4 + 4r\), we can follow these steps:
1. **Move all terms involving \(r\) to one side of the equation.** We can add \(7r\) to both sides:
\[
-7r + 7r - 3 = -4 + 4r + 7r
\]
This simplifies to:
\[
-3 = -4 + 11r
\]
2. **Next, add 4 to both sides to isolate terms with \(r\):**
\[
-3 + 4 = 11r
\]
Which simplifies to:
\[
1 = 11r
\]
3. **Now, divide both sides by 11 to solve for \(r\):**
\[
r = \frac{1}{11}
\]
So the solution is \(r = \frac{1}{11}\).
The answer is **A. one eleventh**.
1. **Move all terms involving \(r\) to one side of the equation.** We can add \(7r\) to both sides:
\[
-7r + 7r - 3 = -4 + 4r + 7r
\]
This simplifies to:
\[
-3 = -4 + 11r
\]
2. **Next, add 4 to both sides to isolate terms with \(r\):**
\[
-3 + 4 = 11r
\]
Which simplifies to:
\[
1 = 11r
\]
3. **Now, divide both sides by 11 to solve for \(r\):**
\[
r = \frac{1}{11}
\]
So the solution is \(r = \frac{1}{11}\).
The answer is **A. one eleventh**.
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