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Chapter 1: Problem 78

Simplify each algebraic expression. $$3 a+7-11 a$$

Short Answer

Expert verified
The simplified algebraic expression is \(-8a + 7\).

Step by step solution

01

Identify the Like Terms

In the provided algebraic expression, \(3a\) and \(-11a\) are the like terms, because they have the same variable \(a\). Also, \(7\) is a constant.
02

Simplify the Like Terms

To simplifying the expression, we combine the coefficients of the like terms. That means we combine \(3\) and \(-11\), resulting in \(-8\). Therefore, \(3a - 11a\) simplifies to \(-8a\).
03

Completion of Simplification

The constant \(7\) remains unchanged, as there are no other constants to combine it with. So, the final simplified expression is \(-8a + 7\).

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