Solve for n. {:[(4n-2)/(2n)=7],[n=]:}

Set up the equation: Set up the equation from the given problem. (4n - 2) / (2n) = 7Multiply to eliminate the denominator: Multiply both sides of the equation by 2n to eliminate the denominator. (4n - 2) = 7 * (2n)Distribute and simplify: Distribute 7 into 2n. (4n - 2) = 14nMove terms involving n: Move all terms involving n to one side of the equation by subtracting 4n from both sides. (4n - 4n) - 2 = 14n - 4nSimplify the equation: Simplify both sides of the equation. -2 = 10nDivide to solve for n: Divide both sides by 10 to solve for n. n = -2 / 10Simplify the fraction: Simplify the fraction to find the value of n. n = -0.2

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Solve for $n$ . $\newline$ $\begin{array}{l} \frac{4 n-2}{2 n}=7 \\ n= \end{array}$

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Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Solve for

n

\newline

\begin{array}{l} \frac{4 n-2}{2 n}=7 \\ n= \end{array}

Set up the equation: Set up the equation from the given problem. $(4n - 2) / (2n) = 7$
Multiply to eliminate the denominator: Multiply both sides of the equation by $2n$ to eliminate the denominator. $\newline$ $(4n - 2) = 7 \times (2n)$
Distribute and simplify: Distribute $7$ into $2n$ . $\newline$ $(4n - 2) = 14n$
Move terms involving $n$ : Move all terms involving $n$ to one side of the equation by subtracting $4n$ from both sides. $\newline$ $(4n - 4n) - 2 = 14n - 4n$
Simplify the equation: Simplify both sides of the equation. $\newline$ $-2 = 10n$
Divide to solve for $n$ : Divide both sides by $10$ to solve for $n$ . $n = \frac{-2}{10}$
Simplify the fraction: Simplify the fraction to find the value of $n$ . $n = -0.2$