#### Answer

$3t-14$

#### Work Step by Step

We are given the expression $-(8-t)+(2t-6)$. This expression is equivalent to $-1\times(8-t)+(2t-6)$.
We can use the distributive property and then group like terms to simplify.
$-1\times(8-t)+(2t-6)=-8+t+2t-6$
$=(2t+t)+(-(8+6))=3t-14$