Question

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

Explanation:

Step1: Add \(10m\) to both sides

To get all the \(m\) terms on one side, we add \(10m\) to both sides of the equation \(10 + 8m=-10m - 8\). This gives us \(10 + 8m+10m=-10m - 8+10m\), which simplifies to \(10 + 18m=-8\).

Step2: Subtract 10 from both sides

Next, we want to isolate the term with \(m\). So we subtract 10 from both sides of the equation \(10 + 18m=-8\). This results in \(10 + 18m-10=-8 - 10\), which simplifies to \(18m=-18\).

Step3: Divide both sides by 18

To solve for \(m\), we divide both sides of the equation \(18m=-18\) by 18. So \(\frac{18m}{18}=\frac{-18}{18}\), which gives \(m = - 1\).

Answer:

\(m=-1\)