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M(n+r)=s solve for n. Show two methods.

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Answer:

  1. n = (s/m) -r
  2. n = (s -mr)/m

Explanation:

1. Undo the operations done to n, in reverse order. Here, n has r added and the sum is multiplied by m. First we divide by m, then we subtract r.

m(n+r) = s . . . given

n +r = s/m . . . divide by m

n = (s/m) -r . . . subtract r

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2. Eliminate the parentheses, then proceed as above. Subtract the added term, then divide by the coefficient of n.

m(n+r) = s

mn +mr = s . . . eliminate parentheses

mn = s -mr . . . subtract the added term

n = (s -mr)/m . . . divide by the coefficient of n

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