Answer
$t=-1$.
Work Step by Step
The given equation is
$\Rightarrow 5t+16=6-5t$
Add $5t-16$ to both sides.
$\Rightarrow 5t+16+5t-16=6-5t+5t-16$
Simplify.
$\Rightarrow 10t=-10$
Divide both sides by $10$.
$\Rightarrow \frac{10t}{10}=-\frac{10}{10}$
Simplify.
$\Rightarrow t=-1$.
Check:-
$\Rightarrow 5(-1)+16=6-5(-1)$
$\Rightarrow -5+16=6+5$
$\Rightarrow 11=11$
True.
Hence, the solution is $t=-1$.
