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It’s not the addition of orbitals but rather of a merging of the two. If you look at the amount of energy of the hybrized orbital, it will fall in between the two original ones. There is a conservation in the number of electrons for hybridization, it’s just their placement that changes.
The reason we talk about hybridization is because the Lewis Structures are only accurate to a certain extent. There are many structures for which Lewis Structures do not work or make sense, which is where hybridization comes into play. Hybridization is a more detailed, yet more accurate version of electron density.
As mentioned above, hybridization is the fusion of two different orbitals (the s and the p) which enable such atoms such as Carbon to form more than just 2 bonds as it would be expected to make. Instead, the "hybridization" of the s and p orbitals further show that Carbon will form 4 bonds rather than 2.
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