# [Tex/LaTex] How to align multiline equations

alignmentequations

I am working with equations that are should be broken to multiple lines. The code I wrote is as follows:

\begin{aligned} O_{max} = w_1 \Sigma_{a=1}^{m} \Sigma_{b=a+1}^{n} (-\left|CPT_a - CPT_b\right|)\\ & + w_2 \Sigma_{j=1}^{m} (DIF_j) + w_3 \Sigma_{j=1}^{m} (INT_j/\Sigma_{x=1}^{n} x_{ij}) \end{aligned} \label{equ:ho}


and the other one is

 \begin{align}
\begin{split}
nr(G_i,r) =
\begin{cases}
1 &  \text{r is naturally played by one member of $G_i$}\\
-2 &  \text{r is not naturally played in $G_i$} \\
-p & \text{r is naturally played by p members in $G_i$}\\
\end{cases}
\end{split} \nonumber \\
\begin{split}
nb(G_i) = \Sigma_{r=1}^{9} nr(G_i,r)\\
& max_{\forall G\in C} \left( b(G) =
\frac{\Sigma_{i=1}^{g}nb(G_i)}{g}\right)
\end{split}
\label{equ:yannibelli}
\end{align}


Alignment of each equation is not the same (second part goes to the right and out of the margin of the pages). How can I fix them, please??

EDIT: 2020/01/01 for the comment of the user @Mico. The first alignment with the important suggestion of the user @Sigur is:

\documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{aligned} O_{\max}& = w_1 \sum_{a=1}^{m} \sum_{b=a+1}^{n} (-\lvert\text{CPT}_a -\text{CPT}_b\rvert)\\ &\quad + w_2 \sum_{j=1}^{m} (\text{DIF}_j) + w_3 \sum_{j=1}^{m} (\text{INT}_j/\sum_{x=1}^{n} x_{ij}) \end{aligned} \label{equ:ho}
\end{document}


For the second code my proposal to align is:

    \documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{aligned} \mathrm{nr}(G_i,r) & = \begin{cases} 1 & \text{r is naturally played by one member of G_i}\\ -2 & \text{r is not naturally played in G_i} \\ -p & \text{r is naturally played by p members in G_i}\\ \end{cases}\\[3pt] \mathrm{nb}(G_i) & = \sum_{r=1}^{9} \mathrm{nr}(G_i,r)\\ & = \max_{\forall G\in C} \left( b(G) = \frac{\sum\limits_{r=1}^{9}\mathrm{nb}(G_i)}{g}\right) \label{equ:yannibel} \end{aligned}
\end{document}