Solve linear equations :
solve step by step for each one

7. 10n - 11 = 3 + 4n + 6n

8. -8(k + 4) = -96

9. -6(2k + 5) + 7k = -6 + 7k

7.) Wrong Question

8.) 8

(9.) - 2

Step-by-step explanation:

7.) 10n - 11 = 3 + 4n + 6n

Collect like terms

10n - 4n - 6n = 3 + 11

10n - 10n = 14

It's not possible to have zero n = 14

8.) -8(k + 4) = - 96

Exland the bracket

-8k - 32 = - 96

Collect like terms

-8k = - 96 + 32

-8k = - 64

Divide through by -8

-8k/-8 = - 64/-8

k = 8

9.) -6(2k + 5) + 7k = -6 + 7k

Open the bracket

-12k - 30 +7k = -6 + 7k

Collect like terms

-12k + 7k - 7k = - 6 + 30

-12k = 24

Divide both sides by -12

-12k/-12 = 24/-12

k = -2

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction