# A cool algebra

Algebra Level pending

There are four unequal, positive integers $$a, b, c$$ and $$d$$ such that 3$$a+3b+ 5c-d = 0$$. It is also true that $$2a+2b+9c-d = 0$$ and $$d$$ is between 175 and 200. What is the value of $$a+b-c$$?

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