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% \begin{flalign}
\hat{c}_{r,m,i}-\lambda{j,n}*T_{n,m,i}-S_{m,i,n,p}-\Omega*\lbrace($\sum^{Jp}_{s=1}$ 
\chi_{r-1,m,i,s,p})+\chi_{r,m,i,j,n}\rbrace &&\\
+2\Omega \geq \hat{c}_{r-1,m,i};\ \forall({r,m,i,j,n,p})|r>1 \nonumber
\label{eq:fünf}
\end{flalign}
%

\documentclass{article}
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\begin{document}
\begin{align}
&Z=c_{max}\\[2ex]
&\text{\textbf{subject to}}\nonumber\\[2ex]
    &\begin{aligned}
   &\hat{c}_{r,m,i}-\lambda{j,n}*T_{n,m,i}-S_{m,i,n,p}-\Omega\cdot\left\lbrace\left(\sum\nolimits^{Jp}_{s=1}\chi_{r-1,m,i,s,p}\right)+\chi_{r,m,i,j,n}\right\rbrace+2\Omega \geq \hat{c}_{r-1,m,i} \\
 &\forall({r,m,i,j,n,p})|r>1
 \end{aligned}\\
&\text{weitere Formeln}
\end{align}

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\end{document}