Solve 82-2g+18f+c=0

$$82 - 2 g + 18 f + c = 0$$

Solve for c

$$c=2\left(-9f+g-41\right)$$

Solution Steps

Subtract 82 from both sides. Anything subtracted from zero gives its negation.

$$-2g+18f+c=-82$$

Add 2g to both sides.

$$18f+c=-82+2g$$

Subtract 18f from both sides.

$$c=-82+2g-18f$$

Solve for f

$$f=\frac{g}{9}-\frac{c}{18}-\frac{41}{9}$$

Steps for Solving Linear Equation

Subtract 82 from both sides. Anything subtracted from zero gives its negation.

$$-2g+18f+c=-82$$

Add 2g to both sides.

$$18f+c=-82+2g$$

Subtract c from both sides.

$$18f=-82+2g-c$$

The equation is in standard form.

$$18f=-c+2g-82$$

Divide both sides by 18.

$$\frac{18f}{18}=\frac{-c+2g-82}{18}$$

Dividing by 18 undoes the multiplication by 18.

$$f=\frac{-c+2g-82}{18}$$

Divide -82+2g-c by 18.

$$f=\frac{g}{9}-\frac{c}{18}-\frac{41}{9}$$