What value will make the equation 3m + 5/4− 3m/4 = −2 true? Write your answer as a fraction.(1 point) The value for m that makes the equation true is m=

To solve the equation \( 3m + \frac{5}{4} - \frac{3m}{4} = -2 \), we start by simplifying the equation.

First, let's rewrite the left side:

\[
3m - \frac{3m}{4} + \frac{5}{4}
\]

To combine the terms involving \( m \), we can express \( 3m \) as a fraction with a denominator of 4:

\[
3m = \frac{12m}{4}
\]

Now substitute that back into the equation:

\[
\frac{12m}{4} - \frac{3m}{4} + \frac{5}{4} = -2
\]

Now combine the terms:

\[
\frac{12m - 3m + 5}{4} = -2
\]
\[
\frac{9m + 5}{4} = -2
\]

Next, we eliminate the fraction by multiplying both sides of the equation by 4:

\[
9m + 5 = -8
\]

Now, isolate \( m \) by subtracting 5 from both sides:

\[
9m = -8 - 5
\]
\[
9m = -13
\]

Finally, divide both sides by 9:

\[
m = -\frac{13}{9}
\]

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

\[
m = -\frac{13}{9}
\]