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$Simplify the expression. Write your answers using integers or improper fractions. -2(3m+5)-(8)/(5)m Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-2(3 m+5)-\frac{8}{5} m$ $\newline$ Answer:

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Change of base formula

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-2(3 m+5)-\frac{8}{5} m

\newline

Answer:

Distribute terms in parentheses: Distribute the $-2$ across the terms inside the parentheses. $\newline$ $-2 \times 3m = -6m$ $\newline$ $-2 \times 5 = -10$ $\newline$ So, $-2(3m+5)$ becomes $-6m - 10$ .
Combine distributed terms: Combine the distributed terms with the remaining part of the expression. $\newline$ The expression now is $-6m - 10 - \left(\frac{8}{5}\right)m$ .
Combine like terms: Combine like terms, which are the terms with the variable $m$ . To combine $-6m$ and $-(8/5)m$ , we need a common denominator. The common denominator for $1$ (the implicit denominator of $-6m$ ) and $5$ is $5$ . So, $-6m$ becomes $-30/5m$ . Now, combine $-30/5m$ and $-6m$ $0$ to get $-6m$ $1$ .
Write final expression: Write the final simplified expression. $\newline$ The simplified expression is $-\frac{38}{5}m - 10$ .

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