I'm a bit lost here....
Equation 1: $(5p − 6) + (1 − p)$.
Shouldn't I apply distributive property here? By distributing the '$+$' sign into $(1 - p)$ to give $(1 + p)$? If that is the case, then the new formula reworded is: $$(5p - 6) + 1 + p = 6p - 5,$$ right?
But the book has a different answer and it is, $4p - 5$ instead.... deductively examining where I went wrong, it seems the '$+$' sign isn't distributed and thus the $p$ in $(1 - p)$ didn't change into a positive
If the book has the right answer, then this procs my title question, when do we use distributive property?
Consider the following equation: $$−10 − 4(n − 5),$$ the $-4$ is distributed into $n$ and $-5$.... If I'm seeing how the formula is worded, whats the difference between this and the case above? Don't they both prompt distributive property cycle? The above case just has an invisible $+1$ right?
I got all the wrong answers in my math test on this part lol but i'm determined to know why.