Simplify the following algebraic expression.
$- 13 k + 8 - k - 2$

k = \frac{3}{7}

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k = \frac{- 7}{3}

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k = \frac{10}{7}

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k = \frac{- 10}{7}

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Solution

The correct option is A $k = \frac{3}{7}$
Let us simplify the given algebraic expression $- 13 k + 8 - k - 2$ by equating it to $0$ to find the value of $k$ as shown below:

$- 13 k + 8 - k - 2 = 0 \Rightarrow (- 13 k - k) + (8 - 2) = 0 \Rightarrow - 14 k + 6 = 0 \Rightarrow - 14 k = - 6 \Rightarrow 14 k = 6$
$\Rightarrow k = \frac{6}{14} \Rightarrow k = \frac{3}{7}$

Hence, $k = \frac{3}{7}$ .

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