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-6(u-2)=-8u+14

We move all terms to the left:

-6(u-2)-(-8u+14)=0

We multiply parentheses

-6u-(-8u+14)+12=0

We get rid of parentheses

-6u+8u-14+12=0

We add all the numbers together, and all the variables

2u-2=0

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

2u=2

u=2/2

u=1

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