What value will make the equation 3m+54−3m4=−2

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

1. Combine like terms:
\[
3m - \frac{3m}{4} + \frac{5}{4}
\]
To combine \( 3m \) and \( -\frac{3m}{4} \), we first convert \( 3m \) to a fraction:
\[
3m = \frac{12m}{4}
\]
Now, we can combine:
\[
\frac{12m}{4} - \frac{3m}{4} = \frac{12m - 3m}{4} = \frac{9m}{4}
\]
Thus, the equation simplifies to:
\[
\frac{9m}{4} + \frac{5}{4} = -2
\]

2. Combine the left side:
Now we can write the left side as:
\[
\frac{9m + 5}{4} = -2
\]

3. Eliminate the fraction by multiplying both sides by 4:
\[
9m + 5 = -8
\]

4. Solve for \( m \):
- Subtract 5 from both sides:
\[
9m = -8 - 5
\]
\[
9m = -13
\]
- Now divide by 9:
\[
m = -\frac{13}{9}
\]

Thus, the value for \( m \) that makes the equation true is:
\[
m = -\frac{13}{9}
\]