Answer
$t=-13/4$
Work Step by Step
The quantity inside of the parenthesis is being multiplied by -2. Thus, we first divide by -2 to find that $2t-1=-15/2$. We need to get the t alone. Thus, we cancel out the subtraction by adding 1 on both sides. This leaves us with the equation $2t=-13/2$. In order to cancel out multiplication, we use division, so we divide both sides by 2 to get that $t=-13/4$. We plug $-13/4$ in for t and confirm that our answer is, indeed, correct.