Question

Solve the equation. Round the result to the nearest tenth if necessary. $$12 m-9=5 m-2$$

Short answer

The value of 'm' is approximately 1.6, when rounded to the nearest tenth

Step-by-step solution

Combine like terms

Given equation is \(12 m-9=5 m-2\). First, we need to gather the 'm' terms on one side and the numbers on the other. You can do this by subtracting '5m' from both sides, giving the equation \(12m - 5m = 2 + 9\)

Simplification

This simplifies to \(7m = 11\).

Solve for 'm'

Now, isolate 'm' by dividing the entire equation by 7. The equation becomes \(m = 11 / 7\).