Solve 46/1000m/23+14+32*2=0.4

$$\frac { \frac { 46 } { 1000 } m } { 23 + 14 + 32 } \times 2 = 0.4$$

Solve for m

$$m=300$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$\frac{\frac{46}{1000}m}{23+14+32}=\frac{0.4}{2}$$

Expand \frac{0.4}{2} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{46}{1000}m}{23+14+32}=\frac{4}{20}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{46}{1000}m}{23+14+32}=\frac{1}{5}$$

Reduce the fraction \frac{46}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{23}{500}m}{23+14+32}=\frac{1}{5}$$

Add 23 and 14 to get 37.

$$\frac{\frac{23}{500}m}{37+32}=\frac{1}{5}$$

Add 37 and 32 to get 69.

$$\frac{\frac{23}{500}m}{69}=\frac{1}{5}$$

Divide \frac{23}{500}m by 69 to get \frac{1}{1500}m.

$$\frac{1}{1500}m=\frac{1}{5}$$

Multiply both sides by 1500, the reciprocal of \frac{1}{1500}.

$$m=\frac{1}{5}\times 1500$$

Multiply \frac{1}{5} and 1500 to get \frac{1500}{5}.

$$m=\frac{1500}{5}$$

Divide 1500 by 5 to get 300.

$$m=300$$