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The GCF is 3.
10--15 = 10+15 = 25 Two negative signs cancel out to be a positive therefore you add them together
TOP TIP!!!: If you have a multiplication that contains an even number of negatives, IGNORE THE MINUS SIGNS! -9 x -15 is exactly the same as 9 x 15 ie 135.
If those are the denominators, then the the negative part of -15 should be transferred to the numerator, eg if the fraction is 4/(-15) then make it (-4)/15, or if it is (-4)/(-15) make it (--4)/15 = 4/15. Then the lcm of 15 and 10 is 30. (Otherwise you are likely to have trouble in getting your signs right if you use a negative denominator.)
It's rare to see an equation with two equals signs. I'm guessing something else went in between 3z and 9. 3z + 9 = 15, then z = 2 3z - 9 = 15, then z = 8 3z x 9 = 15, then z = 5/9 3z/9 = 15, then z = 45