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9m-18n+4.5-0.5\left(8m-6n-5\right)\times 4
Use the distributive property to multiply 4.5 by 2m-4n+1.
9m-18n+4.5-2\left(8m-6n-5\right)
Multiply 0.5 and 4 to get 2.
9m-18n+4.5-16m+12n+10
Use the distributive property to multiply -2 by 8m-6n-5.
-7m-18n+4.5+12n+10
Combine 9m and -16m to get -7m.
-7m-6n+4.5+10
Combine -18n and 12n to get -6n.
-7m-6n+14.5
Add 4.5 and 10 to get 14.5.
9m-18n+4.5-0.5\left(8m-6n-5\right)\times 4
Use the distributive property to multiply 4.5 by 2m-4n+1.
9m-18n+4.5-2\left(8m-6n-5\right)
Multiply 0.5 and 4 to get 2.
9m-18n+4.5-16m+12n+10
Use the distributive property to multiply -2 by 8m-6n-5.
-7m-18n+4.5+12n+10
Combine 9m and -16m to get -7m.
-7m-6n+4.5+10
Combine -18n and 12n to get -6n.
-7m-6n+14.5
Add 4.5 and 10 to get 14.5.