Solve W=0.8m+100-0.8n/0.8*1.2

$$W = 0.8 m + \frac { 100 - 0.8 n } { 0.8 } \times 1.2$$

Solve for W

$$W=\frac{4m}{5}-\frac{6n}{5}+150$$

Solution Steps

Divide each term of 100-0.8n by 0.8 to get \frac{100}{0.8}+\frac{-0.8n}{0.8}.

$$W=0.8m+\left(\frac{100}{0.8}+\frac{-0.8n}{0.8}\right)\times 1.2$$

Expand \frac{100}{0.8} by multiplying both numerator and the denominator by 10.

$$W=0.8m+\left(\frac{1000}{8}+\frac{-0.8n}{0.8}\right)\times 1.2$$

Divide 1000 by 8 to get 125.

$$W=0.8m+\left(125+\frac{-0.8n}{0.8}\right)\times 1.2$$

Cancel out 0.8 and 0.8.

$$W=0.8m+\left(125-n\right)\times 1.2$$

Use the distributive property to multiply 125-n by 1.2.

$$W=0.8m+150-1.2n$$

Solve for m

$$m=\frac{3n}{2}+\frac{5W}{4}-187.5$$

Steps for Solving Linear Equation

Divide each term of 100-0.8n by 0.8 to get \frac{100}{0.8}+\frac{-0.8n}{0.8}.

$$W=0.8m+\left(\frac{100}{0.8}+\frac{-0.8n}{0.8}\right)\times 1.2$$

Expand \frac{100}{0.8} by multiplying both numerator and the denominator by 10.

$$W=0.8m+\left(\frac{1000}{8}+\frac{-0.8n}{0.8}\right)\times 1.2$$

Divide 1000 by 8 to get 125.

$$W=0.8m+\left(125+\frac{-0.8n}{0.8}\right)\times 1.2$$

Cancel out 0.8 and 0.8.

$$W=0.8m+\left(125-n\right)\times 1.2$$

Use the distributive property to multiply 125-n by 1.2.

$$W=0.8m+150-1.2n$$

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

$$0.8m+150-1.2n=W$$

Subtract 150 from both sides.

$$0.8m-1.2n=W-150$$

Add 1.2n to both sides.

$$0.8m=W-150+1.2n$$

The equation is in standard form.

$$0.8m=\frac{6n}{5}+W-150$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8m}{0.8}=\frac{\frac{6n}{5}+W-150}{0.8}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$m=\frac{\frac{6n}{5}+W-150}{0.8}$$

Divide -150+W+\frac{6n}{5} by 0.8 by multiplying -150+W+\frac{6n}{5} by the reciprocal of 0.8.

$$m=\frac{3n}{2}+\frac{5W}{4}-\frac{375}{2}$$