Respuesta :

Answer: k=−4

Step-by-step explanation:  

7k+2=4k−10

Subtract 4k from both sides.

7k+2−4k=−10

Combine 7k and −4k to get 3k.

3k+2=−10

Subtract 2 from both sides.

3k=−10−2

Subtract 2 from −10 to get −12.

3k=−12

Divide both sides by 3.

k=

3

−12

Divide −12 by 3 to get −4.

k=−4

Hey there!

Solve the equation :

  • Answer :

k = -4 ✅

  • Explanation:

7k + 2 = 4k - 10

>> Subtract 2 from both sides :

7k + 2 - 2 = 4k - 10 - 2

7k = 4k - 12

>> Subtract 4k from each sides :

7k - 4k = 4k - 12 - 4k

3k = -12

>> Divide both sides by 3 :

3k / 3 = -12 / 3

k = -4

▪️Let's verify :

7(-4) + 2 ⇔ -28 + 2 ⇔ -26

4(-4) - 10 ⇔ -16 - 10 ⇔ -26

Therefore, k = -4

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