Greetings!
Answer:
t = [tex]\frac{3}{2}[/tex]
Step-by-step 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 = [tex]\frac{3}{2}[/tex]
So the value of t is [tex]\frac{3}{2}[/tex]
Hope this helps!
