14=2(1-2k)+5(8-2k)

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Solution for 14=2(1-2k)+5(8-2k) equation:



14=2(1-2k)+5(8-2k)
We move all terms to the left:
14-(2(1-2k)+5(8-2k))=0
We add all the numbers together, and all the variables
-(2(-2k+1)+5(-2k+8))+14=0
We calculate terms in parentheses: -(2(-2k+1)+5(-2k+8)), so:
2(-2k+1)+5(-2k+8)
We multiply parentheses
-4k-10k+2+40
We add all the numbers together, and all the variables
-14k+42
Back to the equation:
-(-14k+42)
We get rid of parentheses
14k-42+14=0
We add all the numbers together, and all the variables
14k-28=0
We move all terms containing k to the left, all other terms to the right
14k=28
k=28/14
k=2

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