# Use the properties of real numbers to simplify the following expressions: 0.05(0.3m+35n)-0.8(-0.09n-22m) Please explain steps in solving the problem.

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### 1 Answer

Given

`0.05(0.3m+35n)-0.8(-0.09n-22m)`

Since

`Axx(B+C)=AB+AC` ( Distributive property)

`A+B=B+A ` (Commutative property)

Therefore

`0.05xx0.3m+.05xx35n+.8xx.09n+.8xx22m`

`=.05xx.3m+.8xx22m+.05xx35n+.8xx.09n`

`=(.015+17.6)m+(1.75+.072)n`

`=17.615m+1.822n`

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