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10(3k-4)=30-5k
We move all terms to the left:
10(3k-4)-(30-5k)=0
We add all the numbers together, and all the variables
10(3k-4)-(-5k+30)=0
We multiply parentheses
30k-(-5k+30)-40=0
We get rid of parentheses
30k+5k-30-40=0
We add all the numbers together, and all the variables
35k-70=0
We move all terms containing k to the left, all other terms to the right
35k=70
k=70/35
k=2
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