Question

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answer 1

I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

Answer 2

This process is:

Distribute of the Negative Sign:
5t+t−3+−1(7t+5−(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+−7t+−5+8+−3t
Now simple, Just Combine Like Terms:
5t+t+−3+−7t+−5+8+−3t
(5t+t+−7t+−3t)+(−3+−5+8)
−4t

-4t would be the answer.

~Evie