Question

combine the like terms to create an equivalent expression.
-3n + 8 + 9n - 2 - 5n + 9 - 7 + 7n

Explanation:

Step1: Group like terms (n terms and constants)

Group the terms with \( n \): \( -3n + 9n - 5n + 7n \)
Group the constant terms: \( 8 - 2 + 9 - 7 \)

Step2: Combine n terms

Calculate the sum of n terms: \( (-3 + 9 - 5 + 7)n = (8)n = 8n \)

Step3: Combine constant terms

Calculate the sum of constants: \( 8 - 2 + 9 - 7 = 8 \)

Step4: Combine results

Combine the two results: \( 8n + 8 \)

Answer:

\( 8n + 8 \)