Solve for f. Give an exact answer. {:[9f=(1)/(2)(12 f-2)],[f=]:}

Simplify using distributive property: Simplify the equation on the right side using the distributive property. (1/2)(12f - 2) = (1/2)(12f) + (1/2)(-2) = 6f - 1Substitute simplified expression: Substitute the simplified expression back into the original equation. 9f = 6f - 1Isolate variable f: Isolate the variable f on one side of the equation by subtracting 6f from both sides. 9f - 6f = 6f - 6f - 1 3f = -1Solve for f: Solve for f by dividing both sides of the equation by 3. 3f / 3 = -1 / 3 f = -1/3

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Solve for
f.
Give an exact answer.

{:[9f=(1)/(2)(12 f-2)],[f=]:}

Solve for $f$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 9 f=\frac{1}{2}(12 f-2) \\ f=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

f

\newline

Give an exact answer.

\newline

\begin{array}{l} 9 f=\frac{1}{2}(12 f-2) \\ f=\square \end{array}

Simplify using distributive property: Simplify the equation on the right side using the distributive property. $\newline$ $(\frac{1}{2})(12f - 2)$ $\newline$ = $(\frac{1}{2})(12f)$ + $(\frac{1}{2})(-2)$ $\newline$ = $6f - 1$
Substitute simplified expression: Substitute the simplified expression back into the original equation. $9f = 6f - 1$
Isolate variable f: Isolate the variable f on one side of the equation by subtracting $6f$ from both sides. $\newline$ $9f - 6f = 6f - 6f - 1$ $\newline$ $3f = -1$
Solve for f: Solve for f by dividing both sides of the equation by $3$ . $\newline$ $\frac{3f}{3} = \frac{-1}{3}$ $\newline$ $f = \frac{-1}{3}$