Question

Solve each equation. check you solution. (7t - 2) - (-3t + 1) = -3(1 - 3t)

Answer 1

(7t-2) - (-3t+1) = -3*(1-3t)
First distribute:
7t-2+3t-1 = -3+9t
Now get all the terms with 't' on the same side by subtracting/adding:
7t+3t-9t = -3+2+1
Combine the terms:
1t=0
t=0

Check:
Plug in 0 for t and see if both sides of the equation come out the same:
Does (7(0)-2) - (-3(0)+1) = -3(1-3(0))  ?
(-2) - (1) = -3(1)  ?
-3 = -3  ?
Yes! It works, so t=0!