Answer
$t = -3\frac{1}{4}$
or
$t = -3.25$
Work Step by Step
Given the equation:
$15 = -2(2t - 1)$
We start by opening up the brackets as shown below:
$15 = -4t + 2$
Isolate the variable $t$ by subtracting $2$ from both sides of the equation as shown below:
$15 - 2 = -4t + 2 - 2$
Simplify to get:
$13 = -4t$
Divide through by the coefficient of the variable $t$ as shown below:
$\frac{13}{-4} = \frac{-4}{-4}t$
Simplifying, we have:
$-3\frac{1}{4} = t$
Rearranging, we have:
$t = -3\frac{1}{4}$ which can also be written as $t = -3.25$
