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$Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or integers. (2)/(5)m-(4)/(5)-(3)/(5)m$

Combine like terms to create an equivalent expression. $\newline$ Enter any coefficients as simplified proper or improper fractions or integers. $\newline$ $\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m$

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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{2}{5}m-\frac{4}{5}-\frac{3}{5}m

Identify like terms: Identify like terms in the expression. $\newline$ In the expression $(\frac{2}{5})m - (\frac{4}{5}) - (\frac{3}{5})m$ , the like terms are $(\frac{2}{5})m$ and $-(\frac{3}{5})m$ because they both have the variable $m$ .
Combine like terms: Combine the like terms by adding their coefficients. $\newline$ To combine $(\frac{2}{5})m$ and $-(\frac{3}{5})m$ , we add their coefficients: $(\frac{2}{5}) + (-(\frac{3}{5})) = (\frac{2}{5}) - (\frac{3}{5})$ .
Perform subtraction: Perform the subtraction of the coefficients. $\newline$ Subtracting the fractions $(\frac{2}{5}) - (\frac{3}{5})$ gives us $(\frac{2 - 3}{5}) = -\frac{1}{5}$ .
Write combined terms: Write the combined like terms with the variable $m$ . After combining the like terms, we have $(-\frac{1}{5})m$ for the terms with the variable $m$ .
Include constant term: Include the constant term in the expression. $\newline$ The constant term in the expression is $-(4/5)$ , which remains unchanged because there are no other constant terms to combine it with.
Write final expression: Write the final equivalent expression. $\newline$ The final equivalent expression after combining like terms is $(-\frac{1}{5})m - (\frac{4}{5})$ .