Questions: Solve for (m). 12.6+4m=9.6+8m m=(square)

Transcript text: Solve for $m$. \[ \begin{array}{l} 12.6+4 m=9.6+8 m \\ m=\square \end{array} \]

Solution

Solution Steps

To solve for $ m $, we need to isolate the variable on one side of the equation. We can do this by first subtracting $ 4m $ from both sides to get all terms involving $ m $ on one side. Then, subtract $ 9.6 $ from both sides to isolate the constant terms on the other side. Finally, solve for $ m $ by dividing both sides by the coefficient of $ m $.

Step 1: Set Up the Equation

We start with the equation: \[ 12.6 + 4m = 9.6 + 8m \]

Step 2: Rearrange the Equation

To isolate $ m $, we first subtract $ 4m $ from both sides: \[ 12.6 = 9.6 + 8m - 4m \] This simplifies to: \[ 12.6 = 9.6 + 4m \]

Step 3: Isolate $ m $

Next, we subtract $ 9.6 $ from both sides: \[ 12.6 - 9.6 = 4m \] This gives us: \[ 3 = 4m \]

Step 4: Solve for $ m $

Finally, we divide both sides by $ 4 $: \[ m = \frac{3}{4} = 0.75 \]