Solve 9f=1/2left(12f-2right)

$$9f = \frac{ 1 }{ 2 } \left( 12f-2 \right)$$

Solve for f

$$f=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by 12f-2.

$$9f=\frac{1}{2}\times 12f+\frac{1}{2}\left(-2\right)$$

Multiply \frac{1}{2} and 12 to get \frac{12}{2}.

$$9f=\frac{12}{2}f+\frac{1}{2}\left(-2\right)$$

Divide 12 by 2 to get 6.

$$9f=6f+\frac{1}{2}\left(-2\right)$$

Multiply \frac{1}{2} and -2 to get \frac{-2}{2}.

$$9f=6f+\frac{-2}{2}$$

Divide -2 by 2 to get -1.

$$9f=6f-1$$

Subtract 6f from both sides.

$$9f-6f=-1$$

Combine 9f and -6f to get 3f.

$$3f=-1$$

Divide both sides by 3.

$$f=\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$f=-\frac{1}{3}$$