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Simplifying Algebraic Expressions: (2 + b) · 5 + 4(3b - 1)
This article will guide you through the steps of simplifying the algebraic expression: (2 + b) · 5 + 4(3b - 1)
Step 1: Distribute
First, we need to distribute the numbers outside the parentheses to the terms inside.
- (2 + b) · 5 becomes 10 + 5b
- 4(3b - 1) becomes 12b - 4
Now our expression looks like this: 10 + 5b + 12b - 4
Step 2: Combine Like Terms
Next, we'll combine the terms that have the same variable (b) and the constant terms.
- 5b + 12b = 17b
- 10 - 4 = 6
Step 3: Final Simplified Expression
The simplified expression is 17b + 6.
Recap
We've successfully simplified the expression (2 + b) · 5 + 4(3b - 1) using the following steps:
- Distribute the numbers outside the parentheses.
- Combine like terms.
This resulted in the simplified expression 17b + 6.