What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2

To find a number that makes the expressions equivalent, we have to solve for m.

12(–1.4m + 0.4)= m + 0.2
multiply 12 times all in parentheses
(12*-1.4m) + (12*0.4)= m + 0.2
-16.8m + 4.8= m + 0.2
add 16.8m to both sides
4.8= 17.8m + 0.2
subtract 0.2 from both sides
4.6= 17.8m
divide both sides by 17.8
0.2584269663= m

CHECK:
12(–1.4m + 0.4)= m + 0.2
12(0.3617977528 + 0.4)= 0.2584269663 + 0.2
12(0.0382022472)= 0.4584269663
0.4584269662= 0.4584269663

ANSWER: m= 0.2584269663

Hope this helps! :)