0.5k+0.9-0.4k=5.1-0.5k

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Solution for 0.5k+0.9-0.4k=5.1-0.5k equation: 



0.5k+0.9-0.4k=5.1-0.5k

We move all terms to the left:

0.5k+0.9-0.4k-(5.1-0.5k)=0

We add all the numbers together, and all the variables

0.5k-0.4k-(-0.5k+5.1)+0.9=0

We add all the numbers together, and all the variables

0.1k-(-0.5k+5.1)+0.9=0

We get rid of parentheses

0.1k+0.5k-5.1+0.9=0

We add all the numbers together, and all the variables

0.6k-4.2=0

We move all terms containing k to the left, all other terms to the right

0.6k=4.2

k=4.2/0.6

k=7

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