Question

How do you solve `-11t + 8( 2t - 6) = 2`?

Answer 1

`t = 10`

Explanation:

In order to solve this, you need to expand `8(2t-6)` first. Expanding this, you will get `16t - 48`.

Replacing `8(2t-6)` with what we just got, we will get: `-11t + 16t - 48 = 2`.

We can combine `-11t` with `16t`, i.e. `-11t + 16t = 5t`, which will result in a `5t`.

Writing out the equation again with our new computation included, we will get: `5t - 48 = 2`.

Then we need to get rid of the constant `-48` so we add `48` to both sides and we will end up with `5t = 50`. Divide both sides by five and `t = 10`.

If we plug in `10` for t, we should get 2.