-116=-7(-2+4k)+2k

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Solution for -116=-7(-2+4k)+2k equation:



-116=-7(-2+4k)+2k
We move all terms to the left:
-116-(-7(-2+4k)+2k)=0
We add all the numbers together, and all the variables
-(-7(4k-2)+2k)-116=0
We calculate terms in parentheses: -(-7(4k-2)+2k), so:
-7(4k-2)+2k
We add all the numbers together, and all the variables
2k-7(4k-2)
We multiply parentheses
2k-28k+14
We add all the numbers together, and all the variables
-26k+14
Back to the equation:
-(-26k+14)
We get rid of parentheses
26k-14-116=0
We add all the numbers together, and all the variables
26k-130=0
We move all terms containing k to the left, all other terms to the right
26k=130
k=130/26
k=5

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