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2 votes
-5k+4(k+6)=-4(2k+1)...

User Torrence
by
8.2k points

2 Answers

2 votes
-5k + 4(k + 6) = -4(2k + 1) Given
-5k + 4k + 24 = -8k - 4 Distributive Property
-k + 24 = -8k - 4 Combine like terms
7k + 24 = -4 Add 8k to both sides
7k = -28 Subtract 24 from both sides
k = -4 Divide both sides by 7

Answer:
k = -4

Hope this helps!
User Ameika
by
8.0k points
4 votes
Hey there!

First: Distribute the problem

Like
: 4(k) and 4(6) (other half) -4(2k) and 4!)

Problem become:
-5k + 4k + 24 = -8k + 1

Second: Combine your like terms

Like:
-5k + 4k + 24 = -8k - 4

Problem becomes:
-k + 24 = -8k - 4

Third: add the value
8k to your sides

Like:
-k + 24 + 8k \\ \\ = -8k - 4 + 8k

Problem becomes:
7k + 24 = -4

Fourth: subtract by
24 on each of your sides

Like:

7k + 24 - 24 \\ \\ = -4 - 24

Problem becomes:
7k = -28

Fifth: divide both sides by
7

Like:
(7k)/(7) = (-28)/(7)


Answer: k =-4

Good luck on your assignment and enjoy your day!

~
LoveYourselfFirst:)
User Xueli Chen
by
7.7k points