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Chapter 1: Problem 80

Simplify each algebraic expression. $$5-7 b-13-4 b$$

Short Answer

Expert verified
The simplified expression is \(-8 - 11b\).

Step by step solution

01

Identify the Like Terms

In this algebraic expression, \(5-7 b-13-4 b \), the like terms are the numerical constants \(5\) and \(-13\), and the terms with \(b\) i.e., \(-7b\) and \(-4b\).
02

Combine the Constants

By adding constants \(5\) and \(-13\), you can simplify this portion of the expression: \( 5 + (-13) \) which simplifies to \(-8\).
03

Combine the Algebraic Coefficients

Take the terms \(-7b\) and \(-4b\) and add them together: \(-7b + (-4b) \) which simplifies to \(-11b\).
04

State the Simplified Expression

Combine \(-8\) and \(-11b\) to form the simplified algebraic expression, which results to \(-8 - 11b\).

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