Answer:
To solve for t in the equation:
8(t + 2) - 7 = 2(t - 2) - 11
We can start by simplifying both sides using the distributive property of multiplication:
8t + 16 - 7 = 2t - 4 - 11
Simplifying by combining like terms:
8t + 9 = 2t - 15
Next, we want to isolate all the terms with t on one side of the equation. We can do this by subtracting 2t from both sides:
8t + 9 - 2t = -15
Simplifying by combining like terms:
6t + 9 = -15
Subtracting 9 from both sides:
6t = -24
Finally, we can solve for t by dividing both sides by 6:
t = -4
Therefore, the solution is:
t = -4