You are given the function $g(t) = 6t - 1$ and need to find the value of $t$ such that $g(t) = -7$.

To solve this:

$g(t) = 6t - 1 = -7$

Now, solve for $t$:

$6t - 1 = -7$

1. Add 1 to both sides:

$6t = -7 + 1$

$6t = -6$

2. Divide both sides by 6:

$t = \frac{-6}{6}$

$t = -1$

So, $t = -1$.

Would you like more details or have any questions?

Here are some related questions:

1. What would $g(t)$ equal if $t = 2$?
2. What is the slope of the linear function $g(t) = 6t - 1$?
3. How do we graph the function $g(t) = 6t - 1$?
4. Can you solve $g(t) = 5$ for $t$?
5. What is the y-intercept of the function $g(t)$?

Tip: When solving linear equations, always isolate the variable step-by-step to find the solution easily.