![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The expression is 4(5mn + 6) + 3mn. \ \
\= 4(5mn) + 4(6) + 3mn (Distributive Property: a(b + c) = ab + ac)
\= 20mn + 4(6) + 3mn (Multiply: 4![\"\"](\"/MathKey/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4838e363eca1a46b22f36460670b1507.png\")
5mn = 20mn)
= 20mn + 24 + 3mn (Substitution property: 4![\"\"](\"http://c4anything.com/MathKey/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4838e363eca1a46b22f36460670b1507.png\")
6 = 24)
= 20mn + 3mn + 24 (Commutative Property: a + b = b + a)
\![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
= (20mn + 3mn) + 24 (Associative Property of Addition)
\= (20 + 3)mn + 24 (Distributive property: a(b + c) = ab + ac)
\= 23mn + 24 (Add: 20 + 3 = 23)
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The simplified expression is 23mn + 24 \ \