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2t+10=4t-8

We move all terms to the left:

2t+10-(4t-8)=0

We get rid of parentheses

2t-4t+8+10=0

We add all the numbers together, and all the variables

-2t+18=0

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

-2t=-18

t=-18/-2

t=+9

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