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4(2k+3)=52-2k
We move all terms to the left:
4(2k+3)-(52-2k)=0
We add all the numbers together, and all the variables
4(2k+3)-(-2k+52)=0
We multiply parentheses
8k-(-2k+52)+12=0
We get rid of parentheses
8k+2k-52+12=0
We add all the numbers together, and all the variables
10k-40=0
We move all terms containing k to the left, all other terms to the right
10k=40
k=40/10
k=4
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