Solve 6m-1/m=-3p

$$\frac { 6 m - 1 } { m } = - 3 p$$

Solve for m

$$m=\frac{1}{3\left(p+2\right)}$$

$$p\neq -2$$

Steps for Solving Linear Equation

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

$$6m-1=-3pm$$

Add 3pm to both sides.

$$6m-1+3pm=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$6m+3pm=1$$

Combine all terms containing m.

$$\left(6+3p\right)m=1$$

The equation is in standard form.

$$\left(3p+6\right)m=1$$

Divide both sides by 6+3p.

$$\frac{\left(3p+6\right)m}{3p+6}=\frac{1}{3p+6}$$

Dividing by 6+3p undoes the multiplication by 6+3p.

$$m=\frac{1}{3p+6}$$

Divide 1 by 6+3p.

$$m=\frac{1}{3\left(p+2\right)}$$

Variable m cannot be equal to 0.

$$m=\frac{1}{3\left(p+2\right)}\text{, }m\neq 0$$

Solve for p

$$p=-2+\frac{1}{3m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$6m-1=-3pm$$

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

$$-3pm=6m-1$$

The equation is in standard form.

$$\left(-3m\right)p=6m-1$$

Divide both sides by -3m.

$$\frac{\left(-3m\right)p}{-3m}=\frac{6m-1}{-3m}$$

Dividing by -3m undoes the multiplication by -3m.

$$p=\frac{6m-1}{-3m}$$

Divide 6m-1 by -3m.

$$p=-2+\frac{1}{3m}$$