Question

(7t-2)-(-3+1)=-3(1-3t) how do you do this?

Answer 1

Greetings!

Answer:

t =
`(3)/(2)`

Explanation:

First, you need to complete the -3 + 1 and then expand the brackets

-3 + 1 = -2

7t -2 - (-2) = -3(1 - 3t)

Now expant the -3(1 - 3t) bracket

-3 * 1 = -3

-3 * -3t = 9t

7t - 2 - -2 = 9t - 3

The two negatives turn positive:

7t - 2 + 2 = 9t - 3

7t = 9t - 3

Move the -3 over to the oposite side, and also move the +7t over to the +9t, making it a negative:

3 = 9t - 7t

3 = 2t

Divide both sides by 2:

t =
`(3)/(2)`

So the value of t is
`(3)/(2)`

Hope this helps!