SOLUTION: In simplifying (2d-1)-(7d-4), how is the distributive property used? What is the simplified form?

Question 882073: In simplifying (2d-1)-(7d-4), how is the distributive property used? What is the simplified form?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
A subtraction is the same as addition of the additive inverse.

You could also convert ALL subtractions into their equivalent additions, such as the "-4", but I did not do this, because for some students, this makes another step to become confused.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
In simplifying (2d-1)-(7d-4), how is the distributive property used? What is the simplified form?

(2d - 1) - (7d - 4)
1(2d - 1) - 1(7d - 4) ------ "Invisible" 1 before (7d - 4) creates "- 1" on the
IMMEDIATE OUTSIDE of the 2nd binomial
2d - 1 - 7d + 4 ----- DISTRIBUTION "1" & "- 1"
Simplify the above, by collecting and combining like-terms
RELATED QUESTIONS
what is the distributive property of... (answered by stanbon)
Parantheses in equations: I have tried now about 6 times working on these problems and (answered by venugopalramana)
What is the distributive property 4(3+5) (answered by tommyt3rd)
What is the Distributive property for (x... (answered by tommyt3rd)
what is the expression of distributive... (answered by stanbon)
what is the distributive property of... (answered by josmiceli)
What is the distributive property of... (answered by josgarithmetic)
Could you help me? I'm having trouble with these types of problems: 3(2d-7)=(2+4d)2 (answered by stanbon)
Using distributive property what is the answer for... (answered by MathLover1)