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Bonus Problem 1 125 pts.] Consider the following equation 6a+9b+20c The variables a, b, and c can be thought of as the number (non-negative integers)

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Bonus Problem 1 125 pts.] Consider the following equation 6a+9b+20c The variables a, b, and c can be thought of as the number (non-negative integers) of 6's, 9's and 20's in n. Note that for a given n, there might be one, multiple, or no solutions for a, b, and c. For example, n-15 -a-1 and b- 1 and c 0 n- 16 no solution n-24-a-4 and b-0 and c- 0 a-1 and b-2 andc-0 Write a Matlab script that asks the user for n and calculates the solutions of this equation, i.e. how many 6's,9's, and 20's fit in n. Show that this equation has exact solutions for n- 50, 51, 52, 53 54, and 55 and list all the combinations of a, b, and c for each case. Deliverables: Your Matlab script and its outputs with the given values of n

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