2(k-9)+4k=-5(6k-8)+14

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Solution for 2(k-9)+4k=-5(6k-8)+14 equation:



2(k-9)+4k=-5(6k-8)+14
We move all terms to the left:
2(k-9)+4k-(-5(6k-8)+14)=0
We add all the numbers together, and all the variables
4k+2(k-9)-(-5(6k-8)+14)=0
We multiply parentheses
4k+2k-(-5(6k-8)+14)-18=0
We calculate terms in parentheses: -(-5(6k-8)+14), so:
-5(6k-8)+14
We multiply parentheses
-30k+40+14
We add all the numbers together, and all the variables
-30k+54
Back to the equation:
-(-30k+54)
We add all the numbers together, and all the variables
6k-(-30k+54)-18=0
We get rid of parentheses
6k+30k-54-18=0
We add all the numbers together, and all the variables
36k-72=0
We move all terms containing k to the left, all other terms to the right
36k=72
k=72/36
k=2

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