-7(p-3)+2p=24

-7P+21+2P=24

-5P+21=24
-5P=3
P=-3/5

Thanks so much for your help.

the answer to the variable equation -5k-19=5-13k is k=3 remember to distribute.

To solve the equation -7(p-3)+2p=24, we need to simplify and solve for the variable p. Let's break it down step by step:

1. First, let's distribute -7 to the terms inside the parentheses:
-7 * p = -7p
-7 * (-3) = 21
So, the equation becomes: -7p + 21 + 2p = 24

2. Now, let's combine like terms. In this case, we can combine the -7p and 2p:
(-7p + 2p) + 21 = 24
-5p + 21 = 24

3. Next, let's isolate the variable term, -5p, by subtracting 21 from both sides of the equation:
-5p + 21 - 21 = 24 - 21
-5p = 3

4. To solve for p, we need to get rid of the coefficient -5. We'll do this by dividing both sides of the equation by -5:
(-5p) / -5 = 3 / -5
p = -3/5

So, the solution to the equation -7(p-3)+2p=24 is p = -3/5.