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$Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or integers. (1)/(7)-3((3)/(7)n-(2)/(7))$

Combine like terms to create an equivalent expression. $\newline$ Enter any coefficients as simplified proper or improper fractions or integers. $\newline$ $\frac{1}{7}-3\left(\frac{3}{7}n-\frac{2}{7}\right)$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Combine like terms to create an equivalent expression.

\newline

Enter any coefficients as simplified proper or improper fractions or integers.

\newline

\frac{1}{7}-3\left(\frac{3}{7}n-\frac{2}{7}\right)

Identify and group like terms: Identify and group like terms in the expression $(\frac{1}{7}) - 3\left((\frac{3}{7})n - (\frac{2}{7})\right)$ . $\newline$ The like terms to be combined are the terms involving 'n'. $\newline$ Expression: $(\frac{1}{7}) - 3 \times (\frac{3}{7})n + 3 \times (\frac{2}{7})$
Distribute the $-3$ : Distribute the $-3$ across the terms inside the parentheses. $\newline$ $(\frac{1}{7}) - 3 \times (\frac{3}{7})n + 3 \times (\frac{2}{7}) = (\frac{1}{7}) - (\frac{9}{7})n + (\frac{6}{7})$
Combine constant terms: Combine the constant terms $(\frac{1}{7})$ and $(\frac{6}{7})$ . $\newline$ $(\frac{1}{7}) + (\frac{6}{7}) = (\frac{7}{7})$
Simplify constant term: Simplify the constant term $(\frac{7}{7})$ . $\newline$ $(\frac{7}{7}) = 1$
Write final expression: Write the final expression after combining like terms. $\newline$ Final expression: $1 - \left(\frac{9}{7}\right)n$