Question

Solve for rr and simplify your answer.
minus, 23, equals, minus, start fraction, 3, divided by, 2, end fraction, r
−23=
−
2
3
​
r

Answer 1

To solve the equation

\[
-23 = -\frac{3}{2} r,
\]

we can begin by isolating \( r \).

First, we can remove the negative sign from both sides of the equation:

\[
23 = \frac{3}{2} r.
\]

Next, to solve for \( r \), we can multiply both sides by the reciprocal of \(\frac{3}{2}\), which is \(\frac{2}{3}\):

\[
r = 23 \cdot \frac{2}{3}.
\]

Now we can calculate:

\[
r = \frac{23 \cdot 2}{3} = \frac{46}{3}.
\]

Thus, the simplified answer for \( r \) is

\[
\boxed{\frac{46}{3}}.
\]