Answer:
3p + 25
Step-by-step explanation:
Let's start with the original expression:
3(5p – 1) – 4(3p – 7)
We need to distribute each constant to the binomial they are multiplying, and when we do that, we get:
15p – 3 – 12p + 28
Why did the 28 turn out positive? We multiplied two negative numbers together, –4 and –7 , and multiplying two negatives always gives us a positive product.
Now, let's rewrite the expression to group like terms together:
15p – 3 – 12p + 28 — marked like terms, constants bold, variables underlined
15p – 12p + 28 – 3 — rewrote the expression to group like terms
Finally, we combine each set of like terms together to get our final answer:
3p + 25 — simplifying
Hope this helps you understand the concept! Have a great day!
