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simplify the expression: 6q + 6q + 10q + 9q + q

Question

simplify the expression:
6q + 6q + 10q + 9q + q

Explanation:

Step1: Combine like terms

Since all terms have the variable \( q \), we can add their coefficients. The coefficients are 6, 6, 10, 9, and 1 (for the term \( q \), which is \( 1q \)).
\[
6 + 6 + 10 + 9 + 1
\]

Step2: Calculate the sum of coefficients

First, \( 6 + 6 = 12 \). Then, \( 12 + 10 = 22 \). Next, \( 22 + 9 = 31 \). Finally, \( 31 + 1 = 32 \).
So, combining the like terms, we get \( 32q \).

Answer:

\( 32q \)