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.