Solve 9*335+9*4.18*T=36*4.18*(50-T)

$$9 \times 335 + 9 \times 4.18 \times T = 36 \times 4.18 \times ( 50 - T )$$

Solve for T

$$T = \frac{5010}{209} = 23\frac{203}{209} \approx 23.971291866$$

Steps for Solving Linear Equation

Multiply 9 and 335 to get 3015.

$$3015+9\times 4.18T=36\times 4.18\left(50-T\right)$$

Multiply 9 and 4.18 to get 37.62.

$$3015+37.62T=36\times 4.18\left(50-T\right)$$

Multiply 36 and 4.18 to get 150.48.

$$3015+37.62T=150.48\left(50-T\right)$$

Use the distributive property to multiply 150.48 by 50-T.

$$3015+37.62T=7524-150.48T$$

Add 150.48T to both sides.

$$3015+37.62T+150.48T=7524$$

Combine 37.62T and 150.48T to get 188.1T.

$$3015+188.1T=7524$$

Subtract 3015 from both sides.

$$188.1T=7524-3015$$

Subtract 3015 from 7524 to get 4509.

$$188.1T=4509$$

Divide both sides by 188.1.

$$T=\frac{4509}{188.1}$$

Expand \frac{4509}{188.1} by multiplying both numerator and the denominator by 10.

$$T=\frac{45090}{1881}$$

Reduce the fraction \frac{45090}{1881} to lowest terms by extracting and canceling out 9.

$$T=\frac{5010}{209}$$