3 Answers

4 - 6(w + 2) = 10
(Do the multipication first....order of operations)
4 - 6w -12 = 10    (Now, get the unknown all be itself on one side of the = sign)
4 - 4 - 6w - 12  + 12 = 10 - 4  + 12  (subtract 4 and add 12 to zero out the 4 and -12)
-6W = 18  ( 10 - 4 = 6     + 12 = 18) 
(Now, divide "w"  and 18 by 6 to find out how much w is)
-6W/6 = 18/6
w =  -3

Check your answer:
4 - 6 ( -3 + 2) = 10 (do the part in (   ) first
4 - 6(-1) = 10
4 + 6 = 10

-3 is the answer.

4 -6(w+2) = 10

Step 1. -6(w+2) = -6w + -12

 Put problem back together.                              4 - 6w + -12 = 10

Step 2. Cancel out the -12                                              +12  +12

Problem reads now.............                               4 - 6w = 22

Step 3. Cancel out the 4                                   -4           -  4

Problem reads now.............                                   -6w = 18

Step 4. Divide both sides by -6...                            -6       -6

Finally,                                                                       w = -3

w is -7