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5(2k+1)+2=-3-10k
We move all terms to the left:
5(2k+1)+2-(-3-10k)=0
We add all the numbers together, and all the variables
5(2k+1)-(-10k-3)+2=0
We multiply parentheses
10k-(-10k-3)+5+2=0
We get rid of parentheses
10k+10k+3+5+2=0
We add all the numbers together, and all the variables
20k+10=0
We move all terms containing k to the left, all other terms to the right
20k=-10
k=-10/20
k=-1/2
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