The problem is to solve for $t$ in the equation $-\frac{5}{4}t + 1 = 11$.

1. Problem Description

The problem is to solve for $t$ in the equation $-\frac{5}{4}t + 1 = 11$.

2. Solution Steps

First, subtract 1 from both sides of the equation:

$$-\frac{5}{4}t + 1 - 1 = 11 - 1$$

$$-\frac{5}{4}t = 10$$

Next, multiply both sides by $-\frac{4}{5}$ to isolate $t$:

$$-\frac{4}{5} \cdot (-\frac{5}{4}t) = -\frac{4}{5} \cdot 10$$

$$t = -\frac{4}{5} \cdot 10$$

$$t = -\frac{40}{5}$$

$$t = -8$$

3. Final Answer

$t = -8$