Solve for k. {:[(4k-10)/(k)=8],[k=]:}

Equation setup: Set up the equation from the given problem. (4k - 10) / k = 8Eliminating the fraction: Multiply both sides of the equation by k to eliminate the fraction. k * ((4k - 10) / k) = k * 8Simplifying the equation: Simplify both sides of the equation. 4k - 10 = 8kCombining like terms: Subtract 4k from both sides to get all k terms on one side. 4k - 10 - 4k = 8k - 4kFurther simplification: Simplify the equation after subtraction. -10 = 4kDividing both sides: Divide both sides by 4 to solve for k. -10 / 4 = 4k / 4Finding the value of k: Simplify the division to find the value of k. k = -10 / 4 k = -2.5

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Solve for $k$ . $\newline$ $\begin{array}{l} \frac{4 k-10}{k}=8 \\ k= \end{array}$

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Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Solve for

k

\newline

\begin{array}{l} \frac{4 k-10}{k}=8 \\ k= \end{array}

Equation setup: Set up the equation from the given problem. $\newline$ $(4k - 10) / k = 8$
Eliminating the fraction: Multiply both sides of the equation by $k$ to eliminate the fraction. $k \times \left(\frac{4k - 10}{k}\right) = k \times 8$
Simplifying the equation: Simplify both sides of the equation. $4k - 10 = 8k$
Combining like terms: Subtract $4k$ from both sides to get all $k$ terms on one side. $\newline$ $4k - 10 - 4k = 8k - 4k$
Further simplification: Simplify the equation after subtraction. $\newline$ $-10 = 4k$
Dividing both sides: Divide both sides by $4$ to solve for $k$ . $\newline$ $-10 / 4 = 4k / 4$
Finding the value of k: Simplify the division to find the value of k. $\newline$ $k = \frac{-10}{4}$ $\newline$ $k = -2.5$