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0a+0\left(100-a\right)\leq 50
Multiply 0 and 3 to get 0. Multiply 0 and 5 to get 0.
0+0\left(100-a\right)\leq 50
Anything times zero gives zero.
0+0\leq 50
Anything times zero gives zero.
0\leq 50
Add 0 and 0 to get 0.
a\in \mathrm{R}
This is true for any a.