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80\left(t-130\right)+400\left(t-10\right)=0
Multiply 800 and 0.1 to get 80.
80t-10400+400\left(t-10\right)=0
Use the distributive property to multiply 80 by t-130.
80t-10400+400t-4000=0
Use the distributive property to multiply 400 by t-10.
480t-10400-4000=0
Combine 80t and 400t to get 480t.
480t-14400=0
Subtract 4000 from -10400 to get -14400.
480t=14400
Add 14400 to both sides. Anything plus zero gives itself.
t=\frac{14400}{480}
Divide both sides by 480.
t=30
Divide 14400 by 480 to get 30.