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8(2-k)-4k=-2(5k+9)
We move all terms to the left:
8(2-k)-4k-(-2(5k+9))=0
We add all the numbers together, and all the variables
8(-1k+2)-4k-(-2(5k+9))=0
We add all the numbers together, and all the variables
-4k+8(-1k+2)-(-2(5k+9))=0
We multiply parentheses
-4k-8k-(-2(5k+9))+16=0
We calculate terms in parentheses: -(-2(5k+9)), so:We add all the numbers together, and all the variables
-2(5k+9)
We multiply parentheses
-10k-18
Back to the equation:
-(-10k-18)
-12k-(-10k-18)+16=0
We get rid of parentheses
-12k+10k+18+16=0
We add all the numbers together, and all the variables
-2k+34=0
We move all terms containing k to the left, all other terms to the right
-2k=-34
k=-34/-2
k=+17
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