Solve =8(25+t)=3(35-2t)

$$= 8 ( 25 + t ) = 3 ( 35 - 2 t )$$

Solve for t

$$t = -\frac{95}{14} = -6\frac{11}{14} \approx -6.785714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 25+t.

$$200+8t=3\left(35-2t\right)$$

Use the distributive property to multiply 3 by 35-2t.

$$200+8t=105-6t$$

Add 6t to both sides.

$$200+8t+6t=105$$

Combine 8t and 6t to get 14t.

$$200+14t=105$$

Subtract 200 from both sides.

$$14t=105-200$$

Subtract 200 from 105 to get -95.

$$14t=-95$$

Divide both sides by 14.

$$t=\frac{-95}{14}$$

Fraction \frac{-95}{14} can be rewritten as -\frac{95}{14} by extracting the negative sign.

$$t=-\frac{95}{14}$$