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2(5-8k)-13=9(1-k)-13=9(1-k)-12
We move all terms to the left:
2(5-8k)-13-(9(1-k)-13)=0
We add all the numbers together, and all the variables
2(-8k+5)-(9(-1k+1)-13)-13=0
We multiply parentheses
-16k-(9(-1k+1)-13)+10-13=0
We calculate terms in parentheses: -(9(-1k+1)-13), so:We add all the numbers together, and all the variables
9(-1k+1)-13
We multiply parentheses
-9k+9-13
We add all the numbers together, and all the variables
-9k-4
Back to the equation:
-(-9k-4)
-16k-(-9k-4)-3=0
We get rid of parentheses
-16k+9k+4-3=0
We add all the numbers together, and all the variables
-7k+1=0
We move all terms containing k to the left, all other terms to the right
-7k=-1
k=-1/-7
k=1/7
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