Balance each of the following redox reactions and classify it as a combination, decomposition, or displacement reaction:

$\left(\mathit{a}\right)\mathit{M}\mathit{g}\left(\mathit{s}\right)\mathbf{+}{\mathit{H}}_{\mathbf{2}}\mathit{O}\left(\mathit{g}\right)\mathbf{\to }\mathit{M}\mathit{g}{\left(\mathit{O}\mathit{H}\right)}_{\mathbf{2}}\left(\mathit{s}\right)\mathbf{+}{\mathit{H}}_{\mathbf{2}}\left(\mathit{g}\right)$

$\left(\mathit{b}\right)\mathit{C}\mathit{r}{\left(\mathit{N}{\mathit{O}}_3\right)}_{\mathbf{3}}\left(\mathit{a}\mathit{q}\right)\mathbf{+}\mathit{A}\mathit{l}\left(\mathit{s}\right)\mathbf{\to }\mathit{A}\mathit{l}{\left(\mathit{N}{\mathit{O}}_3\right)}_{\mathbf{3}}\left(\mathit{a}\mathit{q}\right)\mathbf{+}\mathit{C}\mathit{r}\left(\mathit{s}\right)$

$\left(\mathit{c}\right)\mathit{P}{\mathit{F}}_{\mathbf{3}}\left(\mathit{g}\right)\mathbf{+}{\mathit{F}}_{\mathbf{2}}\left(\mathit{g}\right)\mathbf{\to }\mathit{P}{\mathit{F}}_{\mathbf{5}}\left(\mathit{g}\right)$

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