Step 1 :Simplify the equation: \(3 - (4 + k) = 2(k + 1)\)
Step 2 :Distribute the 2 on the right side: \(3 - 4 - k = 2k + 2\)
Step 3 :Combine like terms: \(-1 - k = 2k + 2\)
Step 4 :Isolate k: \(-1 - 2 = 3k\)
Step 5 :Solve for k: \(k = -1\)
Step 6 :\(\boxed{k = -1}\)