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Chapter 1: Problem 52

Simplify each algebraic expression. $$-9 a+(-13 a)$$

Short Answer

Expert verified
The simplified form of the given algebraic expression \(-9 a + (-13 a)\) is \(-22a\).

Step by step solution

01

Identify Like Terms

The given algebraic expression is \(-9a + (-13a)\). Here, \(-9a\) and \(-13a\) are the 'like terms' because they both contain the same variable \(a\) with the same power of 1.
02

Combine Like Terms

Next, add the numerical coefficients of the like terms together. In this case, the coefficient of \(a\) in \(-9a\) is -9 and in \(-13a\) is -13. So, we add \(-9\) and \(-13\) which equals \(-22\). Thus, the combined term is \(-22a\).
03

Write the Simplified Expression

We have successfully combined the like terms. The simplified expression is \(-22a\).

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