M–[(m–n)÷(−2)](−5), if m=−4, n=−6

-9

Step-by-step explanation:

We are given the expression m–[(m–n)÷(−2)](−5).  Substituting -4 for m and -6 for n, we get:

-4–[(-4 + 6)÷(−2)](−5)

We must do the work that appears inside parentheses first:

-4–[(  2  )÷(−2)](−5)

Next we must do the work that appears inside square brackets:

-4–[     -1    ](−5)

                                             Multiplication comes next.  The above expression becomes:

-4 - [ 5  ]

which in turn comes out to -9