-2n - 40 <5(6 + n) + 7n

n > -5

Step-by-step explanation:

Step 1:  Distribute

-2n - 40 < 5(6 + n) + 7n

-2n - 40 < 30 + 5n + 7n

Step 2:  Combine Like Terms

-2n - 40 < 30 + 5n + 7n

-2n - 40 < 30 + 12n

Step 3:  Add 2n to both sides

-2n - 40 + 2n < 30 + 12n + 2n

-40 < 30 + 14n

Step 4:  Subtract 30 from both sides

-40 - 30 < 30 + 14n - 30

-70 / 14 < 14n / 14

-5 < n

 n > -5

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.