Solve 800*0.1(t-130)=-400t

$$800 \times 0.1 ( t - 130 ) = - 400 t$$

Solve for t

$$t = \frac{65}{3} = 21\frac{2}{3} \approx 21.666666667$$

Steps for Solving Linear Equation

Multiply 800 and 0.1 to get 80.

$$80\left(t-130\right)=-400t$$

Use the distributive property to multiply 80 by t-130.

$$80t-10400=-400t$$

Add 400t to both sides.

$$80t-10400+400t=0$$

Combine 80t and 400t to get 480t.

$$480t-10400=0$$

Add 10400 to both sides. Anything plus zero gives itself.

$$480t=10400$$

Divide both sides by 480.

$$t=\frac{10400}{480}$$

Reduce the fraction \frac{10400}{480} to lowest terms by extracting and canceling out 160.

$$t=\frac{65}{3}$$