Question

How do you solve `-2t + 2(4t + 1) = 2(4t-3) + 6`?

Answer 1

`t = 1`

Explanation:

The easiest way to solve this is to simplify both sides. First, we'll use the Distributive Property to simplify both sides:

`-2t + 2(4t+1) = 2(4t-3) +6`
`-2t + 8t +2 = 8t-6+6`

We then simplify by combining like terms:

`-2t + 8t +2=8t - 6 +6`
`6t + 2 = 8t`

And finally use our Algebra I skills to isolate `t`:

`6t + 2 = 8t`
`2 = 2t`
`t = 1`