Question

Simplify the linear expression. −23a 18−16a−34.

Answer 1

To simplify the expression −23a + 18 − 16a − 34, you combine like terms which results in −39a − 16. Always check your work by substituting values to see if both the original and simplified expressions equate.

Step-by-step explanation:

The student has asked to simplify the linear expression. The given expression is −23a + 18 − 16a − 34. To simplify, combine like terms, which are terms that have the same variable raised to the same power.

1. Combine the coefficients of 'a': −23a with −16a gives us −39a (-23 - 16 = -39).
2. Combine the constant terms: 18 with −34 gives us −16 (18 - 34 = -16).

Putting it all together, the simplified expression is −39a − 16.

It is always good practice to check the answer to ensure it is reasonable. This can involve substituting values for 'a' to see if the simplified expression and the original expression yield the same results.