Respuesta :

Answer: p=-7

Step-by-step explanation:

To solve for p, you want to isolate the variable, get p alone. You would use different algebraic properties to do so.

30+6p=7p+42-5

30+6p=7p+37

-7=p

p=-7

Answer:
p = -7

Explanation:
Step 1 - You should start by expanding the problem. To that simply multiply the seven by p + 6

30 + 6p = 7(p + 6) - 5
30 + 6p = 7p + 42 - 5

Step 2 - Simplify (subtract 5 from 42)

30 + 6p = 7p + 42 - 5
30 + 6p = 7p + 37

Step 3 - Subtract 30 from both sides of the equation

30 + 6p = 7p + 37
30 - 30 + 6p = 7p + 37 - 30
6p = 7p + 7

Step 4 - Subtract 7p from both sides of the equation

6p = 7p + 7
6p - 7p = 7p - 7p + 7
6p - 7p = 7

Step 5 - Subtract 7p from 6p

6p - 7p = 7
-p = 7

Step 6 - Make the variable positive

-p = 7
-p • -1 = 7 • -1
p = -7

Therefore, p = -7