Assuming that you refer to adding like terms (4b + 1b = 5b), the "sign" is retained because they are different values or amounts of the same variable and can therefore be combined.
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Add the magnitudes, keep the sign.
Add their magnitudes, and keep the same sign for the sum.
You simplyadd them and keep the same sign. 3 + 2 = 5 -3-2 = -5
You simply add the numbers: the answer has a positive sign.
Do the addition. Keep the sign.