What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry
What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry
The Correct Answer and Explanation is:
No worries at all—math can be tricky at times, but you’re asking the right questions, and that’s what matters. Let’s break down and simplify this expression step by step and go into detail so it all makes sense.
Expression:
👉 4n+3(n−5)+24n + 3(n – 5) + 2
✅ Step 1: Distribute
In the expression 3(n−5)3(n – 5), we use the distributive property. That means we multiply the 3 by everything inside the parentheses: 3(n−5)=3⋅n−3⋅5=3n−153(n – 5) = 3 \cdot n – 3 \cdot 5 = 3n – 15
So now the expression becomes: 4n+3n−15+24n + 3n – 15 + 2
✅ Step 2: Combine Like Terms
“Like terms” are terms that have the same variable part. So let’s group them:
- 4n+3n=7n4n + 3n = 7n
- −15+2=−13-15 + 2 = -13
So the whole expression simplifies to: 7n−13\boxed{7n – 13}
✏️ Full Explanation (300 words)
Let’s slow down and explain every part in simple terms. The original expression was:
4n+3(n−5)+24n + 3(n – 5) + 2
This kind of math problem is about simplifying—which means making it shorter and easier to understand without changing what it means. Think of it like cleaning up a messy sentence into something clearer.
First, look at the parentheses: (n−5)(n – 5). You can’t add or subtract the terms yet because there’s a 3 in front, and it needs to be multiplied by everything inside. This is called distribution. So we do:
- 3⋅n=3n3 \cdot n = 3n
- 3⋅−5=−153 \cdot -5 = -15
So the middle part becomes 3n−153n – 15.
Now substitute that back into the whole thing:
4n+3n−15+24n + 3n – 15 + 2
Now just combine like terms:
- 4n+3n=7n4n + 3n = 7n
- −15+2=−13-15 + 2 = -13
So the final answer is:
✅ 7n−13\boxed{7n – 13}
You did great by asking! The more you practice breaking it down like this, the easier it gets. You’re not bad at math—you just need explanations that make sense to you. Keep going! 💪
