Question

solve for m. 4m - 8 = 10 + 7m m = \boxed{}

Explanation:

Step1: Subtract \(4m\) from both sides

To get all the \(m\)-terms on one side, we subtract \(4m\) from both sides of the equation \(4m - 8 = 10 + 7m\). This gives us \(-8 = 10 + 3m\).

Step2: Subtract 10 from both sides

Next, we subtract 10 from both sides to isolate the term with \(m\). So, \(-8 - 10 = 3m\), which simplifies to \(-18 = 3m\).

Step3: Divide both sides by 3

Finally, we divide both sides by 3 to solve for \(m\). Dividing \(-18\) by 3 gives \(m = -6\).

Answer:

\(-6\)