-5t + 7 = 11t - 25
First thing you do is add 5t to both sides.
5t - 5t + 7 = 11t + 5t - 25
7 = 16t - 25
Now add 25 to both sides.
7 + 25 = 16t - 25 + 25
32 = 16t
Now divide both sides by 16.
2 = t
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Now to check it, all you do is input the 2 into every t in the equation.
-5(2) + 7 = 11(2) - 25
-10 + 7 = 22 - 25
-3 = -3
Since they correctly equal each other, we know that 2 was the correct answer for t.