0.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=1

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Solution for 0.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=1 equation: 



0.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=10.009(9-k)+0.03(k-5)=1

We move all terms to the left:

0.009(9-k)+0.03(k-5)-(10.009(9-k)+0.03(k-5))=0

We add all the numbers together, and all the variables

0.009(-1k+9)+0.03(k-5)-(10.009(-1k+9)+0.03(k-5))=0

We multiply parentheses

-0.009k+0.03k-(10.009(-1k+9)+0.03(k-5))+0.081-0.15=0



We calculate terms in parentheses: -(10.009(-1k+9)+0.03(k-5)), so:

10.009(-1k+9)+0.03(k-5)

We multiply parentheses

-10.009k+0.03k+90.081-0.15

We add all the numbers together, and all the variables

-9.979k+89.931

Back to the equation:

-(-9.979k+89.931)



We add all the numbers together, and all the variables

0.021k-(-9.979k+89.931)-0.069=0

We get rid of parentheses

0.021k+9.979k-89.931-0.069=0

We add all the numbers together, and all the variables

10k-90=0

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

10k=90

k=90/10

k=9

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