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13(2k+6)=-66+14k
We move all terms to the left:
13(2k+6)-(-66+14k)=0
We add all the numbers together, and all the variables
13(2k+6)-(14k-66)=0
We multiply parentheses
26k-(14k-66)+78=0
We get rid of parentheses
26k-14k+66+78=0
We add all the numbers together, and all the variables
12k+144=0
We move all terms containing k to the left, all other terms to the right
12k=-144
k=-144/12
k=-12
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