Question

simplify the expression:
7a - 2a - 8a + 6a + 8a

Explanation:

Step1: Combine like terms (coefficients of \(a\))

First, identify the coefficients of \(a\): \(7, -2, -8, 6, 8\).
Now, add these coefficients together: \(7 - 2 - 8 + 6 + 8\).

Step2: Calculate the sum of coefficients

Calculate step by step:
\(7 - 2 = 5\)
\(5 - 8 = -3\)
\(-3 + 6 = 3\)
\(3 + 8 = 11\)

Step3: Multiply the sum by \(a\)

Since the sum of the coefficients is \(11\), the simplified expression is \(11a\).

Answer:

\(11a\)