write an equivalent expression without using grouping symbols. -(6x - 7)

Question

write an equivalent expression without using grouping symbols.  -(6x - 7)

anonymous · Answer

ARGH! I just wrote a whole explanation then I hit back and it disappeared. I'll do it quickly.

Do you know what the distributive property is?

2(3x - 4) = 2*3x + 2*-4 = 6x - 8
^--- distributive property being used

Well, in this case, there's a hidden one in front of the parentheses. Anything multiplied by 1 is itself, so adding a one there doesn't change things.

-(6x - 7) = -1(6x - 7)

Distribute,
-1*6x + -1*-7 = -6x + 7