PencilLover PencilLover
  • 23-02-2022
  • Mathematics
contestada

Find the missing variable. 3k+4(-k+2)=14k-22

Respuesta :

carosm12 carosm12
  • 23-02-2022

Answer:

k=2

Step-by-step explanation:

Expanding gives

[tex]3k-4k+8=14k-22[/tex].

Further simplification yields

[tex]-k+8=14k-22[/tex]

[tex]15k=30[/tex]

[tex]k=2[/tex].

Answer Link
MathWiz0001
MathWiz0001 MathWiz0001
  • 23-02-2022

Step-by-step explanation:

Use the Distributive Property:

[tex]3k - 4k + 8 = 14k - 22[/tex]

[tex] - k + 8 = 14k - 22[/tex]

Add k to both sides:

[tex]8 = 15k - 22[/tex]

Add 22 to both sides:

[tex]30 = 15k[/tex]

Divide each side by 15:

[tex]2 = k[/tex]

Answer Link

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