Solve 2(2.00+0.16T)(0.16)=2(5.67-0.457)(0.45)

$$2 ( 2.00 + 0.16 T ) ( 0.16 ) = 2 ( 5.67 - 0.457 ) ( 0.45 )$$

Solve for T

$$T=79.134765625$$

Steps for Solving Linear Equation

Cancel out 2 on both sides.

$$\left(2+0.16T\right)\times 0.16=\left(5.67-0.457\right)\times 0.45$$

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

$$0.32+0.0256T=\left(5.67-0.457\right)\times 0.45$$

Subtract 0.457 from 5.67 to get 5.213.

$$0.32+0.0256T=5.213\times 0.45$$

Multiply 5.213 and 0.45 to get 2.34585.

$$0.32+0.0256T=2.34585$$

Subtract 0.32 from both sides.

$$0.0256T=2.34585-0.32$$

Subtract 0.32 from 2.34585 to get 2.02585.

$$0.0256T=2.02585$$

Divide both sides by 0.0256.

$$T=\frac{2.02585}{0.0256}$$

Expand \frac{2.02585}{0.0256} by multiplying both numerator and the denominator by 100000.

$$T=\frac{202585}{2560}$$

Reduce the fraction \frac{202585}{2560} to lowest terms by extracting and canceling out 5.

$$T=\frac{40517}{512}$$