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which expression is equivalent to the expression below? $6n - 4p + n + …

Question

which expression is equivalent to the expression below?
$6n - 4p + n + n$
answer
$4n - 4p$ $8n - 4p$
$4n$ $0n$

Explanation:

Step1: Identify like terms

The expression is \(6n - 4p + n + n\). The like terms for \(n\) are \(6n\), \(n\), and \(n\); the term with \(p\) is \(-4p\).

Step2: Combine like terms for \(n\)

Add the coefficients of the \(n\) terms: \(6 + 1 + 1 = 8\). So the combined \(n\) terms are \(8n\). The \(-4p\) term remains as it is.

Step3: Write the simplified expression

Putting it together, the simplified expression is \(8n - 4p\).

Answer:

\(8n - 4p\) (corresponding to the option: \(8n - 4p\))