SOLUTION: 3(7t+-3)=-4t+41

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Question 623902: 3(7t+-3)=-4t+41
Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
3(7t - 3) = -4t + 41
3 * 7t = 21t
3 * -3 = -9
21t - 9 = -4t + 41

Add 4t to each side of the equation
21t - 9 + 4t = -4t + 41 + 4t
Combine like terms:
21t + 4t = 25t
-4t + 4t = 0

We now have:
25t - 9 = 41

Add 9 to each side of the equation
25t - 9 + 9 = 41 + 9
Combine like terms:
-9 + 9 = 0
41 + 9 = 50

Therefore:
25t = 50
Divide each side by 25
25t/25 = 50/25

The Answer:
t = 2


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