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Combine the like terms to create an equivalent expression.

4n+6+n-2=

Combine the like terms to create an equivalent expression. $\newline$ $4n+6+n-2=$

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Evaluate logarithms using properties

Full solution

Q. Combine the like terms to create an equivalent expression.

\newline

4n+6+n-2=

Identify like terms: Identify like terms in the expression. $\newline$ In the expression $4n+6+n-2$ , the like terms are $4n$ and $n$ (both are 'n' terms), and $6$ and $-2$ (both are constant terms).
Combine 'n' terms: Combine the like terms that are 'n' terms. $\newline$ To combine $4n$ and $n$ , we add the coefficients ( $4$ and $1$ ) together because $n$ is the same in both terms. $\newline$ $4n + n = 4n + 1n = (4 + 1)n = 5n$
Combine constant terms: Combine the like terms that are constant terms. $\newline$ To combine $6$ and $-2$ , we add the numbers together. $\newline$ $6 + (-2) = 6 - 2 = 4$
Write equivalent expression: Write the equivalent expression by combining the results from the previous steps. $\newline$ The equivalent expression is the sum of the combined $n$ terms and the combined constant terms. $\newline$ $5n + 4$

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