%E2%8B%855%2B4(3b%E2%88%921)-simplified.jpeg "(2+b)⋅5+4(3b−1) Simplified")
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
-
Distribute: We begin by distributing the 5 and the 4:
(2 + b) ⋅ 5 + 4(3b - 1) = 10 + 5b + 12b - 4
-
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.