The equation \(-5(k-2)=40\) is an example of a linear equation. Specifically, it can be classified as a one-variable linear equation because it contains only one variable, which is \(k\).
To solve this equation, you would typically isolate \(k\) by performing algebraic operations. Here's a brief outline of the steps to solve it:
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Distribute the -5: \[ -5k + 10 = 40 \]
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Subtract 10 from both sides: \[ -5k = 30 \]
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Divide by -5: \[ k = -6 \]
The solution is \(k = -6\). This shows that it is indeed a linear equation, as it can be solved for the variable.