Question
Simplify each expression. See Examples 7 and $8 .$$$6 t+8-6 t+3$$
Simplify each expression. See Examples 7 and $8 .$ $$6 t+8-6 t+3$$
Answers
Simplify each expression. See Examples 7 and $8 .$ $$6 t+8-6 t+3$$
Is to simplify the expression eight plus 90 plus four. Okay, so the first stuff I'm gonna d'oh, I'm going to use the proper, uh, the community of property of addition. Andi just reorder, um, parentheses to be four plus 19. Second stuff on it is the associative property of of Addition. Thio regroup our parentheses. Next time, just gonna perform the addition. So eight plus four is 12. So we get a final answer 12 plus 19. And I think just to standardize this a little bit, usually you write your variable first, not to change the order and just gonna use the community of property of addition again. So our final answer is just gonna be 90 plus 12 just so we can kind of see what we did. We used the community of Property of Edition. We used the associative property of addition a simplified, And then we used the community of property of addition again, Thank you very much.
To simplify this expression, we get to use the distributive property twice. So first will distribute the six and we get six times 40 minus six times three. And then we'll distribute the other six and we get six times four plus a minus, actually, minus six times three t. Now we'll simplify each of these expressions. Six times 40 is 2040 six times three is 18. So we have minus 18. Six times four is 24. So we have plus 24 and six times three t is 18 t C minus 18 t. Okay, okay. So the next thing we want to do is look for, like, terms that we can combine and notice. We have a 2040 and a minus 18 t. So let's go ahead and subtract those coefficients 24 minus 18 gives us six. So that means we have 60. I noticed that we also have negative 18 and positive 24 and we can add those together and that gives us positive six. So our answer is 60 plus six
We got eight minus 40 plus 60 squared. Well, here we don't have any like terms. So 60 squared? No, like terms with it, neither 14 or eight. So this is already simplified, so there is nothing that can be done.
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