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7(8-3k)=17-8k
We move all terms to the left:
7(8-3k)-(17-8k)=0
We add all the numbers together, and all the variables
7(-3k+8)-(-8k+17)=0
We multiply parentheses
-21k-(-8k+17)+56=0
We get rid of parentheses
-21k+8k-17+56=0
We add all the numbers together, and all the variables
-13k+39=0
We move all terms containing k to the left, all other terms to the right
-13k=-39
k=-39/-13
k=+3
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