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That's not a proof, but maybe you could use that logic to formalize in a proof format.

ok thks i'll try

so n + 2 = (m + 1) + 2 = m + 3... and since m is divisible by 3, so is m+3

is this make sense?
n+(n+2)+(n+4) = 3n+6 , but (3n+6)/3 = n+2
is that sufficient proof?