Identifying Absolute Value Equations with No Solution

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Which of the following equations has no solution?

|6 - 4k - 45| = -15

For which value of $k$ does the equation $|6 - 4k - 45| = -15$ have a solution?

There is no value of $k$ that satisfies the equation.

Solve the equation $|4x + 40 - 10| = 6$ for $x$.

$x = 7.5$

What is the solution to the equation $|-4n - 26| = 0$?

$n = 6.5$

Solve the equation $|-36 - 4k - 27| = 0$ for $k$.

$k = 15.75$

Test your knowledge on absolute value equations by identifying which of the given equations has no solution. This quiz will help you practice solving absolute value equations with various constants and variables.

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