Question

simplify the expression: 9d + 7 + 4d + 2 + 3d - 8

Explanation:

Step1: Combine like terms for \(d\)

We have \(9d + 4d+3d\). Using the distributive property \(ac + bc=(a + b)c\), here \(c = d\), so \(9d+4d + 3d=(9 + 4+3)d\). Calculating \(9 + 4+3 = 16\), so the \(d\)-terms combine to \(16d\).

Step2: Combine constant terms

We have \(7 + 2-8\). First, \(7+2 = 9\), then \(9-8 = 1\).

Step3: Combine the results from Step1 and Step2

The simplified expression is the sum of the combined \(d\)-terms and the combined constant terms, so \(16d+1\).

Answer:

\(16d + 1\)