What is

|-3+45 - (-14) | + (-|-87+12/46|

simplified

|x|=absoulte value of x which means whatever x is, make it positive

so first solve any division/multiplication

the only one is 12/46=6/23

so we do the absoulte value signs

-3+45 - (-14)

- (-14) = + 14

-3+45+14=56

absoulute value of 56=56

56 + (-|-87+6/23|)

-87+6/23=-86 and 17/23

absoulte value of - 86 and 17/23=86 and 17/23

there is a negative sign in front of the absoulte vaulue so make it negative

56-86 and 17/23=-30 and 17/23 or about - 30.73913