Question

solve the equation for k: -6(k - 3) = -18
a k=3
b k=-3
c k=6

Explanation:

Step1: Divide both sides by -6

To isolate the term with \( k \), we divide both sides of the equation \(-6(k - 3)=-18\) by \(-6\).

$$ \frac{-6(k - 3)}{-6}=\frac{-18}{-6} $$

Simplifying both sides, we get \( k - 3 = 3 \).

Step2: Add 3 to both sides

To solve for \( k \), we add 3 to both sides of the equation \( k - 3 = 3 \).

$$ k - 3 + 3 = 3 + 3 $$

Simplifying, we find \( k = 6 \)? Wait, no, wait. Wait, \(\frac{-18}{-6}=3\), so \(k - 3 = 3\), then \(k=3 + 3=6\)? Wait, no, wait, let's check again. Wait, the original equation is \(-6(k - 3)=-18\). Divide both sides by -6: \(k - 3=\frac{-18}{-6}=3\). Then add 3 to both sides: \(k=3 + 3=6\)? Wait, but let's check the options. Option C is \(k = 6\). Wait, but let's verify by plugging back. If \(k = 6\), then \(-6(6 - 3)=-6\times3=-18\), which matches the right side. So the correct answer is C.

Answer:

C. \( k = 6 \)