Simplifying Algebraic Expressions: (4-n) + 2(-5n+3)
This article will guide you through the steps of simplifying the algebraic expression (4-n) + 2(-5n+3).
Understanding the Order of Operations
Before we begin simplifying, let's remember the order of operations, commonly known as PEMDAS or BODMAS:
- Parentheses ( Brackets)
- Exponents ( Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
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Distribute: We start by distributing the 2 in front of the second set of parentheses: (4 - n) + 2(-5n + 3) = 4 - n + (-10n) + 6
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Combine like terms: Next, we combine the constant terms (4 and 6) and the 'n' terms: 4 - n - 10n + 6 = -11n + 10
Final Result
The simplified form of the expression (4-n) + 2(-5n+3) is -11n + 10.