OpticsFormulas PDF

Opticsequation

My text book lists the equation as U + P = V, which is the same as 1/u + 1/f = 1/v. It then goes on to an example where it uses Cartesian sign convention to point out that "u" is negative. Fine. This would give the equation rearranged (unless I'm mistaken) as 1/f = 1/v - 1/u

Published by: MACMILLAN, Australia, Hb ISBN: 0-7329-4676-X Pb ISBN 0-7329-4675-1 Publication date: 1998 342 pages; 234 x 156 mm

Opticsequation MCAT

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Opticsformula Sheet

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I'm trying to understand the thin lens equation (and I suppose the mirror equation) but I keep hitting a wall with the signage of the equation.

I'm definitely missing something here, as I know "u" will become negative due to Cartesian sign convention, but the first resource seems to cancel this out (I.e. - -), while the second doesn't?