Well, let's take a moment to appreciate these lovely variables, f and g. To simplify this expression, we can combine like terms. So, when we combine the terms with f, we get 5f - 7f + 3f, which simplifies to f. And when we combine the terms with g, we get -3g - 4g, which simplifies to -7g. So, the simplified expression is f - 7g. Remember, there are no mistakes in math, just happy little accidents.
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To simplify the given expression, we first combine like terms. Group the terms with 'f' together and the terms with 'g' together. This gives us: (5f - 7f - 3f) + (-3g - 4g). Simplifying further, we get: -5f - 7g. So, the simplified expression is -5f - 7g.
It is an algebraic expression which can be simplified if we knew the plus or minus value of 3f which has not been given.