Question

24=-6m+1+17 (Show Work)

Answer 1

24=-6m+18
-18 -18
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6=6m
m=1

Answer 2

You want to make the 6m onto one side.
24=-6m+1+17
When a number goes onto the other side of the equal sign, then you have to change it's sign. If it was a negative, then it turns into a positive. If it was a positive, then it turns into a negative.
6m=-24+1+17
6m=-6.
You want the "m" to be alone, and without that 6. So you divide each side by 6.
6m/6 = -6/6
m=-1