Question

solve the linear equation for k.
-5 = -2k - 7 + 4k

Explanation:

Step1: Combine like terms

On the right side, combine the \(k\)-terms: \(-2k + 4k = 2k\), so the equation becomes \(-5 = 2k - 7\).

Step2: Add 7 to both sides

Add 7 to each side: \(-5 + 7 = 2k - 7 + 7\), which simplifies to \(2 = 2k\).

Step3: Divide by 2

Divide both sides by 2: \(\frac{2}{2} = \frac{2k}{2}\), so \(k = 1\).

Answer:

\(k = 1\)