12m+3n=-4

To solve the equation \( 12m + 3n = -4 \) for one variable in terms of the other, you can choose to isolate either \( m \) or \( n \). Here’s how to do it for both variables: 1. **Isolating \( n \):** \[ 3n = -4 - 12m \] \[ n = \frac{-4 - 12m}{3} \] \[ n = -\frac{4}{3} - 4m \] 2. **Isolating \( m \):** \[ 12m = -4 - 3n \] \[ m = \frac{-4 - 3n}{12} \] \[ m = -\frac{1}{3} - \frac{n}{4} \] Thus, the two relationships derived from the equation are: - \( n = -\frac{4}{3} - 4m \) - \( m = -\frac{1}{3} - \frac{n}{4} \) If you have specific values for \( n \) or \( m \), you can substitute them to find corresponding values for the other variable. If you need further assistance, such as graphing the equation or solving for specific values, feel free to ask!