6=7k/8-k

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Solution for 6=7k/8-k equation:



6=7k/8-k
We move all terms to the left:
6-(7k/8-k)=0
Domain of the equation: 8-k)!=0
We move all terms containing k to the left, all other terms to the right
-k)!=-8
k!=-8/1
k!=-8
k∈R
We add all the numbers together, and all the variables
-(-1k+7k/8)+6=0
We get rid of parentheses
1k-7k/8+6=0
We multiply all the terms by the denominator
1k*8-7k+6*8=0
We add all the numbers together, and all the variables
-7k+1k*8+48=0
Wy multiply elements
-7k+8k+48=0
We add all the numbers together, and all the variables
k+48=0
We move all terms containing k to the left, all other terms to the right
k=-48

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