Solve -4Q+2Q/s=-2(4-Q)

$$\frac { - 4 Q + 2 Q } { s } = - 2 ( 4 - Q )$$

Solve for Q

$$Q=\frac{4s}{s+1}$$

$$s\neq -1\text{ and }s\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s.

$$-4Q+2Q=-2\left(4-Q\right)s$$

Combine -4Q and 2Q to get -2Q.

$$-2Q=-2\left(4-Q\right)s$$

Use the distributive property to multiply -2 by 4-Q.

$$-2Q=\left(-8+2Q\right)s$$

Use the distributive property to multiply -8+2Q by s.

$$-2Q=-8s+2Qs$$

Subtract 2Qs from both sides.

$$-2Q-2Qs=-8s$$

Combine all terms containing Q.

$$\left(-2-2s\right)Q=-8s$$

The equation is in standard form.

$$\left(-2s-2\right)Q=-8s$$

Divide both sides by -2-2s.

$$\frac{\left(-2s-2\right)Q}{-2s-2}=-\frac{8s}{-2s-2}$$

Dividing by -2-2s undoes the multiplication by -2-2s.

$$Q=-\frac{8s}{-2s-2}$$

Divide -8s by -2-2s.

$$Q=\frac{4s}{s+1}$$

Solve for s

$$s=-\frac{Q}{Q-4}$$

$$Q\neq 0\text{ and }Q\neq 4$$

Steps for Solving Linear Equation

Variable s cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by s.

$$-4Q+2Q=-2\left(4-Q\right)s$$

Combine -4Q and 2Q to get -2Q.

$$-2Q=-2\left(4-Q\right)s$$

Use the distributive property to multiply -2 by 4-Q.

$$-2Q=\left(-8+2Q\right)s$$

Use the distributive property to multiply -8+2Q by s.

$$-2Q=-8s+2Qs$$

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

$$-8s+2Qs=-2Q$$

Combine all terms containing s.

$$\left(-8+2Q\right)s=-2Q$$

The equation is in standard form.

$$\left(2Q-8\right)s=-2Q$$

Divide both sides by -8+2Q.

$$\frac{\left(2Q-8\right)s}{2Q-8}=-\frac{2Q}{2Q-8}$$

Dividing by -8+2Q undoes the multiplication by -8+2Q.

$$s=-\frac{2Q}{2Q-8}$$

Divide -2Q by -8+2Q.

$$s=-\frac{Q}{Q-4}$$

Variable s cannot be equal to 0.

$$s=-\frac{Q}{Q-4}\text{, }s\neq 0$$