(2+b)⋅5+4(3b−1) Simplified

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2 + b) ⋅ 5 + 4(3b - 1)

This article will guide you through the process of simplifying the algebraic expression (2 + b) ⋅ 5 + 4(3b - 1).

Understanding the Order of Operations

Before we start simplifying, it's important to remember the order of operations, often remembered by the acronym PEMDAS or BODMAS:

• Parentheses ( Brackets)
• Exponents ( Orders)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Simplifying the Expression

1. Distribute: We begin by distributing the 5 and the 4:

   (2 + b) ⋅ 5 + 4(3b - 1) = 10 + 5b + 12b - 4

2. Combine Like Terms: Identify terms with the same variable and combine their coefficients:

   10 + 5b + 12b - 4 = 17b + 6

Final Result

Therefore, the simplified form of the expression (2 + b) ⋅ 5 + 4(3b - 1) is 17b + 6.