To solve the equation (-t - 2) = (t - 6) for t, we'll use the rules of algebra.
In the expression (-t - 2) = (t - 6), we have the variable 't' on both sides of the equation.
Step 1: To make it easier to solve, let's start by getting rid of the negative sign before t on the left side. To do that, we'll add 't' on both sides.
(-t + t) - 2 = (t - 6) + t results in -2 = 2t - 6
Step 2: Now to move the number on the right side to the left, let's add 6 to both sides.
-2 + 6 = 2t - 6 + 6 simplifies to 4 = 2t.
Step 3: Finally we can solve for 't' by dividing both sides by 2.
4 ÷ 2 = 2t ÷ 2, which gives us t = 2.
So, the solution to the equation is t = 2, which corresponds to answer choice C) t = 2.
Answer: C) t = 2