If $-k+78=98-20$, then what is the value of $k ?$

Answer:

Step 1 ：Understand the problem. The problem is asking us to solve for the variable 'k' in the equation \(-k+78=98-20\).

Step 2 ：Simplify the equation. We can simplify the right side of the equation first. \(98-20=78\). So, the equation becomes \(-k+78=78\).

Step 3 ：Solve for 'k'. To isolate 'k' on one side of the equation, we can subtract 78 from both sides. \(-k+78-78=78-78\). This simplifies to \(-k=0\).

Step 4 ：To get 'k' alone, we can multiply both sides of the equation by -1. \(-1*-k=-1*0\). This simplifies to \(k=0\).

Step 5 ：Check the solution. Substitute \(k=0\) back into the original equation to verify the solution. \(-0+78=98-20\). \(78=78\). The left side of the equation equals the right side of the equation, so \(k=0\) is the correct solution.

Step 6 ：\(\boxed{k=0}\) is the final answer.