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

Answer

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Answer

$\boxed{k = -1}$

Steps

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 ：$\boxed{k = -1}$