Solve (100-T)*2205=(T-10)*336+(1-10)*1200*0

$$( 100 - T ) \times 2205 = ( T - 10 ) \times 336 + ( 1 - 10 ) \times 1200 \times 0$$

Solve for T

$$T = \frac{10660}{121} = 88\frac{12}{121} \approx 88.099173554$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100-T by 2205.

$$220500-2205T=\left(T-10\right)\times 336+\left(1-10\right)\times 1200\times 0$$

Use the distributive property to multiply T-10 by 336.

$$220500-2205T=336T-3360+\left(1-10\right)\times 1200\times 0$$

Subtract 10 from 1 to get -9.

$$220500-2205T=336T-3360-9\times 1200\times 0$$

Multiply -9 and 1200 to get -10800.

$$220500-2205T=336T-3360-10800\times 0$$

Multiply -10800 and 0 to get 0.

$$220500-2205T=336T-3360+0$$

Add -3360 and 0 to get -3360.

$$220500-2205T=336T-3360$$

Subtract 336T from both sides.

$$220500-2205T-336T=-3360$$

Combine -2205T and -336T to get -2541T.

$$220500-2541T=-3360$$

Subtract 220500 from both sides.

$$-2541T=-3360-220500$$

Subtract 220500 from -3360 to get -223860.

$$-2541T=-223860$$

Divide both sides by -2541.

$$T=\frac{-223860}{-2541}$$

Reduce the fraction \frac{-223860}{-2541} to lowest terms by extracting and canceling out -21.

$$T=\frac{10660}{121}$$