Solve for rr and simplify your answer.

Question

minus, 14, equals, minus, start fraction, 4, divided by, 3, end fraction, r
−14=
−
3
4
​
r

Answer 1

To solve the equation \(-14 = -\frac{4}{3}r\), we can isolate \(r\) by following these steps:

1. First, eliminate the negative sign by multiplying both sides of the equation by \(-1\):

\[ 14 = \frac{4}{3}r \]

2. Next, solve for \(r\) by multiplying both sides by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\):

\[ r = 14 \cdot \frac{3}{4} \]

3. Now, calculate the right side:

\[ r = \frac{14 \cdot 3}{4} \]

4. Simplify the fraction:

\[ r = \frac{42}{4} = \frac{21}{2} \]

So, the simplified answer is:

\[ r = \frac{21}{2} \]