SOLUTION: Problem 1: |3m+10| =m+6 Problem 2: 2|n+6|=7n-3

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Question 892130: Problem 1: |3m+10| =m+6

Problem 2: 2|n+6|=7n-3
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Problem 1: Square both sides:
%283m%2B10%29%5E2+=+%28m%2B6%29%5E2
==> 9m%5E2+%2B60m+%2B+100+=+m%5E2+%2B12m+%2B36
<==> 8m%5E2+%2B+48m+%2B64+=+0
<==> m%5E2+%2B6m+%2B+8+=+0
<==> (m+2)(m+4) = 0 ==> m = -2, -4, which are found to satisfy the original equation after a quick check.
Problem 2 is done in a similar fashion.