What value will make the equation 3m+54−3m4=−2 true? Write your answer as a fraction.(1 point)

To solve the equation \( 3m + 54 - \frac{3m}{4} = -2 \), we will first eliminate the fraction by multiplying the entire equation by 4 (the denominator of the fraction). This gives us:

\[
4(3m) + 4(54) - 4\left(\frac{3m}{4}\right) = 4(-2)
\]

This simplifies to:

\[
12m + 216 - 3m = -8
\]

Next, we'll combine like terms on the left side:

\[
(12m - 3m) + 216 = -8
\]

This simplifies to:

\[
9m + 216 = -8
\]

Now, we will isolate \( m \) by first subtracting 216 from both sides:

\[
9m = -8 - 216
\]

This gives us:

\[
9m = -224
\]

Next, we divide both sides by 9:

\[
m = -\frac{224}{9}
\]

Thus, the value for \( m \) that makes the equation true is:

\[
\boxed{-\frac{224}{9}}
\]