Find the difference by using the idea that a - b = a + (b):

a. -12 - (-6)
b. - 7 - 4
c. 11 - (-8)

Thank you, I do not understand.

I don't know what you mean by "the idea that a - b = a + (b)"

That makes no sense. The problem may be with your teacher.

IF b is negative,
a - b = a + |b|
but that is not true if b is positive.

In any case,

a. -12 - (-6) = -12 + 6 = -6
b. -7 -4 = -11
c. 11 -(-8) = 11 + 8 = 19

Mary Lee probably has a typo and meant to say:

a - b = a + (-b)

If not, and your notes contain the statement the way you typed it, then you have to correct it in your notes.

I will do the first one:
a. -12 - (-6)
= -12 + (+6)
= -6

Do the others the same way

To find the difference by using the idea that a - b = a + (b), you can rewrite subtraction as addition. Here's how you can solve each of the given problems:

a. -12 - (-6):
Rewrite the subtraction as addition: -12 + (-(-6))
Remember that a double negative becomes a positive: -12 + 6
Add the numbers together: -12 + 6 = -6

b. -7 - 4:
Rewrite the subtraction as addition: -7 + (-4)
Add the numbers together: -7 + (-4) = -11

c. 11 - (-8):
Rewrite the subtraction as addition: 11 + (-(-8))
Remember that a double negative becomes a positive: 11 + 8
Add the numbers together: 11 + 8 = 19

So, the differences are:
a. -12 - (-6) = -6
b. -7 - 4 = -11
c. 11 - (-8) = 19