What is 13m+4n-8m+2n+2(5m-20n) ?

The solution to 13m+4n-8m+2n+2(5m-20n) is 15m-34n

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simplify 13m+4n-8m+2n+2(5m-20n)

simplify

13 m + 4 n - 8 m + 2 n + 2 (5 m - 20 n)

15 m - 34 n

Solution steps

13 m + 4 n - 8 m + 2 n + 2 (5 m - 20 n)

Group like terms

= 2 (5 m - 20 n) + 13 m - 8 m + 4 n + 2 n

Add similar elements:

13 m - 8 m = 5 m

= 2 (5 m - 20 n) + 5 m + 4 n + 2 n

Add similar elements:

4 n + 2 n = 6 n

= 2 (5 m - 20 n) + 5 m + 6 n

Expand

2 (5 m - 20 n) : 10 m - 40 n

= 10 m - 40 n + 5 m + 6 n

Group like terms

= 10 m + 5 m - 40 n + 6 n

Add similar elements:

10 m + 5 m = 15 m

= 15 m - 40 n + 6 n

Add similar elements:

- 40 n + 6 n = - 34 n

= 15 m - 34 n

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What is 13m+4n-8m+2n+2(5m-20n) ?
The solution to 13m+4n-8m+2n+2(5m-20n) is 15m-34n