-3(m-2n-4)=-9 Given the equation, what is the value of m-2n ?

Distribute -3: First, we need to simplify the equation by distributing the -3 across the terms inside the parentheses. -3(m) + 3(2n) + 3(4) = -9Simplify left side: Now, we simplify the terms on the left side of the equation. -3m + 6n + 12 = -9Isolate terms: Next, we need to isolate the terms involving m and n on one side by subtracting 12 from both sides of the equation. -3m + 6n = -9 - 12Divide by -3: Simplify the right side of the equation by combining like terms. -3m + 6n = -21Calculate right side: Now, we divide the entire equation by -3 to solve for m - 2n. (m - 2n) = -21 / -3Finally, we calculate the right side of the equation. m - 2n = 7

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-3(m-2n-4)=-9
Given the equation, what is the value of
m-2n ?

$-3(m-2 n-4)=-9$ $\newline$ Given the equation, what is the value of $m-2 n$ ?

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Algebra 1

Solve linear equations: mixed review

Full solution

-3(m-2 n-4)=-9

\newline

Given the equation, what is the value of

m-2 n

Distribute $-3$ : First, we need to simplify the equation by distributing the $-3$ across the terms inside the parentheses. $\newline$ $-3(m) + 3(2n) + 3(4) = -9$
Simplify left side: Now, we simplify the terms on the left side of the equation. $\newline$ $-3m + 6n + 12 = -9$
Isolate terms: Next, we need to isolate the terms involving $m$ and $n$ on one side by subtracting $12$ from both sides of the equation. $\newline$ $-3m + 6n = -9 - 12$
Divide by $-3$ : Simplify the right side of the equation by combining like terms. $-3m + 6n = -21$
Calculate right side: Now, we divide the entire equation by $-3$ to solve for $m - 2n$ . $(m - 2n) = \frac{-21}{-3}$
Calculate right side: Now, we divide the entire equation by $-3$ to solve for $m - 2n$ . $\newline$ $(m - 2n) = -21 / -3$ Finally, we calculate the right side of the equation. $\newline$ $m - 2n = 7$