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simplify the expression: 10v + 7 + 3v + 9 + 9v + 6v

Question

simplify the expression:
10v + 7 + 3v + 9 + 9v + 6v

Explanation:

Step1: Group like terms

Group the terms with \( v \) (variable terms) and the constant terms (numbers without \( v \)):
\( (10v + 3v + 9v + 6v) + (7 + 9) \)

Step2: Combine variable terms

Add the coefficients of \( v \):
\( 10v + 3v + 9v + 6v = (10 + 3 + 9 + 6)v = 28v \)

Step3: Combine constant terms

Add the constant numbers:
\( 7 + 9 = 16 \)

Step4: Combine results

Combine the simplified variable and constant terms:
\( 28v + 16 \)

Answer:

\( 28v + 16 \)