Solve the equation.
-6p - 21 = 3p - 12
A. 1
B. 3
C. –3
D. –1
im sure its D but I wanna make sure am I right?
You're right! :-)
thanks !
You're welcome.
To solve the equation -6p - 21 = 3p - 12, you need to move all the terms with p to one side of the equation and all the constants to the other side. Here's how you can do it step by step:
1. Start by adding 6p to both sides of the equation to eliminate the -6p term on the left side:
-6p + 6p - 21 = 3p + 6p - 12
Simplifying, you get:
-21 = 9p - 12
2. Next, eliminate the constant term on the right side by adding 12 to both sides:
-21 + 12 = 9p - 12 + 12
Simplifying, you get:
-9 = 9p
3. Finally, divide both sides of the equation by 9 to solve for p:
-9/9 = 9p/9
Simplifying, you get:
-1 = p
So the correct answer is D. -1.
Therefore, your initial intuition was correct, and D is the correct answer.