Question

solve for m.
12.6 + 4m = 9.6 + 8m
m = \boxed{}

Explanation:

Step1: Subtract 4m from both sides

To isolate the variable terms, we subtract \(4m\) from each side of the equation \(12.6 + 4m = 9.6 + 8m\). This gives us \(12.6 = 9.6 + 4m\).

Step2: Subtract 9.6 from both sides

Next, we subtract \(9.6\) from both sides to get the constant term on one side. So, \(12.6 - 9.6 = 4m\), which simplifies to \(3 = 4m\).

Step3: Divide both sides by 4

Finally, we divide both sides of the equation \(3 = 4m\) by \(4\) to solve for \(m\). This gives \(m=\frac{3}{4}= 0.75\).

Answer:

\(0.75\)