collecting like terms

First, I want to ask this question. Would r+r+r+r+r equal 5r?

Ok, now onto the simplifications that I'm having trouble with:

1. f - 3f + 2 - f +1
2. -8q + 6 + 5q - 3
3. h + 5h - 3 - 6h
4. 2a- 5(a +1)

I have no clue what I'm doing here. (Headbang)

Here are my answers to those questions:

Yes, it would equal 5r.

1. f + 3
2. -3q + 3
3. 3
4. 2a^2 - 5a

I'm not positive about #4.

Is it ok if you showed me how you worked out those answers?

Sorry, here are my steps:

1. f - 3f + 2 - f +1
= f - (f + f + f) + 2 - f + 1
= f + f + 2 - f + 1
= f + (f - f) + 2 + 1
= f + 2 + 1
= f + 3

2. -8q + 6 + 5q - 3
= (-8q + 5q) + 6 - 3
= -3q + 6 - 3
= -3q + 3

3. h + 5h - 3 - 6h
= 6h - 3 - 6h
= (6h - 6h) - 3
= - 3

4. 2a- 5(a +1)
= 2a - 5a +1
= -3a +1

I guess it's a good thing I redid it showing my steps; #3 and 4 were wrong.

Quote:

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Originally Posted by Dried Monkey

4. 2a- 5(a +1)
= 2a - 5a +1
= -3a +1

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I haven't looked at 1 and 2, but
2a - 5(a + 1)

2a - 5a - 5

-3a - 5

-Dan

Yeah, that makes more sense. I wasn't sure about that one. Good thing you corrected me.