Question

solve the equation -6p - 21=3p - 12

Answer 1

you want to get the variable p to be positive so you move the 6p to the right and the -12 to the left and you get -21+12=3p+6p
simplify and you get -9=9p
solve for your answer

Answer 2

p=-1

Answer 3

-6p - 21 = 3p - 12 (add 21 to both sides)
-6p - 21 + 21 = 3p - 12 + 21 (combine like terms)
-6p = 3p + 9 (subtract 3p from both sides)
-6p - 3p = 3p - 3p + 9 (combine like terms)
-9p = 9 (divide by -9 to get p by itself)
-9p/-9 = 9/-9
p = - 1

you can now check your answer by subbing in -1 for p
-6p - 21 = 3p - 12
-6(-1) - 21 = 3(-1) - 12
6 - 21 = -3 - 12
- 15 = - 15 (correct)

ANSWER : p = - 1