Solve 2(2.00+0.16T)(0.16)=2(5.67-0.45T)(0.45)

$$2 ( 2.00 + 0.16 T ) ( 0.16 ) = 2 ( 5.67 - 0.45 T ) ( 0.45 )$$

Solve for T

$$T = \frac{22315}{2281} = 9\frac{1786}{2281} \approx 9.782989917$$

Steps for Solving Linear Equation

Cancel out 2 on both sides.

$$\left(2+0.16T\right)\times 0.16=\left(5.67-0.45T\right)\times 0.45$$

Use the distributive property to multiply 2+0.16T by 0.16.

$$0.32+0.0256T=\left(5.67-0.45T\right)\times 0.45$$

Use the distributive property to multiply 5.67-0.45T by 0.45.

$$0.32+0.0256T=2.5515-0.2025T$$

Add 0.2025T to both sides.

$$0.32+0.0256T+0.2025T=2.5515$$

Combine 0.0256T and 0.2025T to get 0.2281T.

$$0.32+0.2281T=2.5515$$

Subtract 0.32 from both sides.

$$0.2281T=2.5515-0.32$$

Subtract 0.32 from 2.5515 to get 2.2315.

$$0.2281T=2.2315$$

Divide both sides by 0.2281.

$$T=\frac{2.2315}{0.2281}$$

Expand \frac{2.2315}{0.2281} by multiplying both numerator and the denominator by 10000.

$$T=\frac{22315}{2281}$$