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17(k+9)=9(k-5)-14
We move all terms to the left:
17(k+9)-(9(k-5)-14)=0
We multiply parentheses
17k-(9(k-5)-14)+153=0
We calculate terms in parentheses: -(9(k-5)-14), so:We get rid of parentheses
9(k-5)-14
We multiply parentheses
9k-45-14
We add all the numbers together, and all the variables
9k-59
Back to the equation:
-(9k-59)
17k-9k+59+153=0
We add all the numbers together, and all the variables
8k+212=0
We move all terms containing k to the left, all other terms to the right
8k=-212
k=-212/8
k=-26+1/2
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