Solve 21.100+4.6=109w+35.2

$$21.100+4.6 = 109w+35.2$$

Solve for w

$$w=-\frac{19}{218}\approx -0.087155963$$

Steps for Solving Linear Equation

Add 21.1 and 4.6 to get 25.7.

$$25.7=109w+35.2$$

Swap sides so that all variable terms are on the left hand side.

$$109w+35.2=25.7$$

Subtract 35.2 from both sides.

$$109w=25.7-35.2$$

Subtract 35.2 from 25.7 to get -9.5.

$$109w=-9.5$$

Divide both sides by 109.

$$w=\frac{-9.5}{109}$$

Expand \frac{-9.5}{109} by multiplying both numerator and the denominator by 10.

$$w=\frac{-95}{1090}$$

Reduce the fraction \frac{-95}{1090} to lowest terms by extracting and canceling out 5.

$$w=-\frac{19}{218}$$