Roman C. answered 11/25/12
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Masters of Education Graduate with Mathematics Expertise
Remember, subtracting a quantity N is the same as adding -N = -1*N.
In this case:
(x + 3y - 5z) - (x - 3y + 4z)
= (x + 3y - 5z) + (-1)(x - 3y + 4z)
= (x + 3y - 5z) + (-x + 3y - 4z)
= 6y - 9z