In the equation ##3*(5*t + 2) = 36##, what does t equal?

##t = 2##

To solve for ##t##, we need to isolate it within this equation. So, start by dividing both sides by ##3##:

##(color(red)(cancel(color(black)(3)))(5* t + 2))/color(red)(cancel(color(black)(3))) = 36/3##

The ##3##'s on the left side cancel, to leave:

##5 * t + 2 = 12##

##5t + 2 = 12##

Then we subtract 2 from each side.

##5t + color(red)(cancel(color(black)(2))) - color(red)(cancel(color(black)(2))) = 12 - 2##

##5t=10##

Then, isolate ##t##:

##(color(red)(cancel(color(black)(5)))t)/color(red)(cancel(color(black)(5))) = 10/5##

##t = 2##