Problem 78

Question

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

Step-by-Step Solution

Verified
Answer
The simplified algebraic expression is \(-8a + 7\).
1Step 1: 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.
2Step 2: 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 \(-8a\).
3Step 3: Completion of Simplification
The constant \(7\) remains unchanged, as there are no other constants to combine it with. So, the final simplified expression is \(-8a + 7\).