Solve for rr and simplify your answer.

minus, 23, equals, minus, start fraction, 3, divided by, 2, end fraction, r
−23=

2
3

r

1 answer

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

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