31=3(1+2m)+5(m-1)

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Solution for 31=3(1+2m)+5(m-1) equation:



31=3(1+2m)+5(m-1)
We move all terms to the left:
31-(3(1+2m)+5(m-1))=0
We add all the numbers together, and all the variables
-(3(2m+1)+5(m-1))+31=0
We calculate terms in parentheses: -(3(2m+1)+5(m-1)), so:
3(2m+1)+5(m-1)
We multiply parentheses
6m+5m+3-5
We add all the numbers together, and all the variables
11m-2
Back to the equation:
-(11m-2)
We get rid of parentheses
-11m+2+31=0
We add all the numbers together, and all the variables
-11m+33=0
We move all terms containing m to the left, all other terms to the right
-11m=-33
m=-33/-11
m=+3

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