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5(4k+2)/3=4k-2
We move all terms to the left:
5(4k+2)/3-(4k-2)=0
We get rid of parentheses
5(4k+2)/3-4k+2=0
We multiply all the terms by the denominator
5(4k+2)-4k*3+2*3=0
We add all the numbers together, and all the variables
5(4k+2)-4k*3+6=0
We multiply parentheses
20k-4k*3+10+6=0
Wy multiply elements
20k-12k+10+6=0
We add all the numbers together, and all the variables
8k+16=0
We move all terms containing k to the left, all other terms to the right
8k=-16
k=-16/8
k=-2
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