Solve 6.7g=-kg

$$6.7 g = - k g$$

Solve for g

$$\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&k=-\frac{67}{10}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \left(-k\right)g from both sides.

$$6.7g-\left(-k\right)g=0$$

Multiply -1 and -1 to get 1.

$$6.7g+kg=0$$

Combine all terms containing g.

$$\left(6.7+k\right)g=0$$

The equation is in standard form.

$$\left(k+6.7\right)g=0$$

Divide 0 by 6.7+k.

$$g=0$$

Solve for k

$$\left\{\begin{matrix}\\k=-6.7\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\left(-k\right)g=6.7g$$

Reorder the terms.

$$-gk=6.7g$$

The equation is in standard form.

$$\left(-g\right)k=\frac{67g}{10}$$

Divide both sides by -g.

$$\frac{\left(-g\right)k}{-g}=\frac{67g}{10\left(-g\right)}$$

Dividing by -g undoes the multiplication by -g.

$$k=\frac{67g}{10\left(-g\right)}$$

Divide \frac{67g}{10} by -g.

$$k=-\frac{67}{10}$$