6/7q-4=1/7q+11

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Solution for 6/7q-4=1/7q+11 equation:



6/7q-4=1/7q+11
We move all terms to the left:
6/7q-4-(1/7q+11)=0
Domain of the equation: 7q!=0
q!=0/7
q!=0
q∈R
Domain of the equation: 7q+11)!=0
q∈R
We get rid of parentheses
6/7q-1/7q-11-4=0
We multiply all the terms by the denominator
-11*7q-4*7q+6-1=0
We add all the numbers together, and all the variables
-11*7q-4*7q+5=0
Wy multiply elements
-77q-28q+5=0
We add all the numbers together, and all the variables
-105q+5=0
We move all terms containing q to the left, all other terms to the right
-105q=-5
q=-5/-105
q=1/21

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