Answer
$t=6$.
Work Step by Step
The given equation is
$\Rightarrow -9(t-2)=4(t-15)$
Use distributive property.
$\Rightarrow -9t+18=4t-60$
Add $9t+60$ to both sides.
$\Rightarrow -9t+18+9t+60=4t-60+9t+60$
Simplify.
$\Rightarrow 78=13t$
Divide both sides by $13$.
$\Rightarrow \frac{78}{13}=\frac{13t}{13}$
Simplify.
$\Rightarrow 6=t$.
Check:-
$\Rightarrow -9(6-2)=4(6-15)$
$\Rightarrow -9(4)=4(-9)$
$\Rightarrow -36=-36$
True.
Hence, the solution is $t=6$.
