You have a lot of questions here, so I'm going to help you with the bottom four.
Combine like terms:
3q - 8 - 6p + 8q - 4p
We can rearrange the terms to make this easier to simplify.
3q + 9q - 6p - 4p - 8
12q - 10p - 8 is the simplified version of the expression.
Simplify.
-32t/12t
The best way to simplify this is to look for the GCF of 32 and 12, which is 4.
-32/4 = -8
-12/4 = -3
The simplified form of this fraction is -8t/3t
[3(x - 4) - 2] + [5(x - 1) + 5]
There are two important things you need to know here.
First, you need to know PEMDAS.
Second, you need to know the distributive property.
First, we're going to use the distributive property.
[3x - 12 - 2] + [5x - 5 + 5]
Now, we just combine like terms.
3x - 14 + 5x
Then we do it again.
8x - 14 is the simplified version of the given expression.
30 + 19 * 26 - (-16)
This is more of a PEMDAS problem than the last, so we'll work through this in order.
First up is Multiplication.
Multiply 19 * 26
30 + 494 - (-16)
Next, we add, from left to right.
524 - (-16)
Because we have two negative signs, they cancel out and create a plus sign.
524 + 16
Add.
540
