Problem

14. Solve the linear equation $3-(4+k)=2(k+1)$. a. $k=-1$ c. $k=-3$ b. $k=1$ d. $k=3$

Solution

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 :\(\boxed{k = -1}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15645/

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