Question
2. Simplify the expression. \[ 0.75 n-5+1.25 n-3 \]
Ask by Brewer Brewer. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 2n - 8 \).
Solution
Start by combining like terms. The terms with n are 0.75n and 1.25n, and the constant terms are -5 and -3.
Step 1: Combine the n terms:
0.75n + 1.25n = (0.75 + 1.25)n = 2n
Step 2: Combine the constant terms:
-5 - 3 = -8
So, the simplified expression is:
2n - 8
This is the final answer.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To simplify the expression \( 0.75 n - 5 + 1.25 n - 3 \), start by combining like terms. The terms involving \( n \) are \( 0.75 n \) and \( 1.25 n \), which add up to \( 0.75 n + 1.25 n = 2.00 n \) or simply \( 2n \). Next, combine the constant terms: \(-5 - 3 = -8\). Putting it all together, the simplified expression is: \[ 2n - 8 \]