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14 votes
14 votes
-6(2p + 1) = -7p - 31

User Bhavik Goyal
by
2.7k points

2 Answers

22 votes
22 votes

Answer:

p=5

Explanation:

first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.

User Brad Linard
by
2.6k points
16 votes
16 votes

Answer:

P=5

Explanation:

-6(2p + 1) = -7p - 31

Expand -6(2p+1)

Apply distributive law;

a=-6, b=2p, c=1

=-6*2p+(-6)*1

=-6*2p-6*1

Simplify; -6*2p-6*1

=-12p-6

-12p-6=-7p-31

Add 6 to both sides;

-12p-6+6=-7p-31+6

simplify;

-12p=-7p-25

Add 7p to both sides;

-12p+7p=-7p-25+7p

Simplify;

-5p=-25

Divide both sides by -5

-5p/-5=-25/-5

Simplify:

p=5

Answered by the One and Only #DrippQueenMo

User Karoberts
by
3.2k points