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30a+50a+75\geq 1355
Use the distributive property to multiply 25 by 2a+3.
80a+75\geq 1355
Combine 30a and 50a to get 80a.
80a\geq 1355-75
Subtract 75 from both sides.
80a\geq 1280
Subtract 75 from 1355 to get 1280.
a\geq \frac{1280}{80}
Divide both sides by 80. Since 80 is positive, the inequality direction remains the same.
a\geq 16
Divide 1280 by 80 to get 16.