6(k+7)=7(k-5)+6k

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Solution for 6(k+7)=7(k-5)+6k equation:



6(k+7)=7(k-5)+6k
We move all terms to the left:
6(k+7)-(7(k-5)+6k)=0
We multiply parentheses
6k-(7(k-5)+6k)+42=0
We calculate terms in parentheses: -(7(k-5)+6k), so:
7(k-5)+6k
We add all the numbers together, and all the variables
6k+7(k-5)
We multiply parentheses
6k+7k-35
We add all the numbers together, and all the variables
13k-35
Back to the equation:
-(13k-35)
We get rid of parentheses
6k-13k+35+42=0
We add all the numbers together, and all the variables
-7k+77=0
We move all terms containing k to the left, all other terms to the right
-7k=-77
k=-77/-7
k=+11

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