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-4(T -6) - (T+6)= 7 -4T -24 -T -6 = 7 - 5T - 30 = 7 + 30 + 30 - 5T = 37 is this going the right way pls help

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you made an error in line 2... you multiplied -4 by -6 in line 1 and replaced it with -24 in line 2... should have been +24
-4t + 24 + t + 6 = 7 -4t + t+ 24 + 6 = 7 -3t + 30 = 7 -3t - 30 + 30 = 7 - 30 -3t = -23 Divide t = 7.8 Now switch t = 11/5
fix that and then do the simplifying again...

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oops, @Compassionate is on it... thanks!
Except that last step isn't right, I don't think... -3t = -23 divide both sides by -3 -3t/(-3) = -23/(-3) t = 23/3 That doesn't reduce any further... you can get it as a decimal if you want... 7.666667, but 23/3 is correct too.
You can reduce 7.6 a little further to make it clear. But that's a different form of mathematics. I'd just go with 7.6
I'm not sure I follow... 23/3 is equal to 7 and 2/3 as a mixed fraction, or you can write the 2/3 as a decimal, rounding off wherever you feel like. But you wouldn't want to round to 7.6. Anyway, the algebra is the more important part... @vortish, the steps you followed were good, and if you had not made that mistake early on, you probably would have been fine through the rest.
That's very true, Jake, he only one mistake. ^ Look at me rhyming.

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