166k views
3 votes
1/4 k = 3 (-1/4 k + 3)

2 Answers

6 votes

Answer:

k = 9

Step-by-step explanation:

Simplify 1/4k to k/4

k/4 = 3(-k/4 + 3)

Regroup terms

k/4 = 3(3 - k/4)

Multiply both sides by 4

k = 12(3 - k/4)

Expand

k = 36 - 3k

Add 3k to both sides

k + 3k = 36

Simplify k + 3k to 4k

4k = 36

Divide both sides by 4

k = 36/4

Simplify 36/4 to 9

k = 9

User Casablanca
by
6.1k points
1 vote

Simplify 1/4k to k/4

k/4 = 3(-k/4 + 3)

Regroup terms

k/4 = 3(3 - k/4)

Multiply both sides by 4

k = 12(3 - k/4)

Expand

k = 36 - 3k

Add 3k to both sides

k + 3k = 36

Simplify k + 3k to 4k

4k = 36

Divide both sides by 4

k = 36/4

Simplify 36/4 to 9

k = 9

User Lisann
by
5.5k points