5 - 7k = - 4 (k + 1) - 3

5 - 7k = - 4 (k + 1) - 3

5 - 7k = - 4k - 4 - 3

7k + 4k = - 4 - 3 - 5

11k = - 12

k = - 12/11

~batmans wife dun dun dun ...

Step 1: Simplify both sides of the equation.

5

-

7

k

=

-

4

(

k

+

1

)

-

3

5

+

-

7

k

=

(

-

4

)

(

k

)

+

(

-

4

)

(

1

)

+

-

3

(Distribute)

5

+

-

7

k

=

-

4

k

+

-

4

+

-

3

-

7

k

+

5

=

(

-

4

k

)

+

(

-

4

+

-

3

)

(Combine Like Terms)

-

7

k

+

5

=

-

4

k

+

-

7

-

7

k

+

5

=

-

4

k

-

7

Step 2: Add 4k to both sides.

-

7

k

+

5

+

4

k

=

-

4

k

-

7

+

4

k

-

3

k

+

5

=

-

7

Step 3: Subtract 5 from both sides.

-

3

k

+

5

-

5

=

-

7

-

5

-

3

k

=

-

12

Step 4: Divide both sides by - 3.

-

3

k

-

3

=

-

12

-

3

k

=

4

Answer:

K=4