A carrom coin starts at position \(0\) on a number line. During a game, the coin is struck several times. A movement to the right is represented by a positive integer, while a movement to the left represented by a negative integer. The following movements are recorded:
\(+10\), \(-3\), \(-6\), \(+5\)
Using the information, answer the following questions:
(a) What is the sum of \(-6\) and its additive inverse?
(b) What is the coin's position after all the four movements?
(c) The player wants the coin to return to \(0\) after the four given movements. What should be the next movement?
(d) Two integers have a sum of −6. If one of them is 5, find the other integer.