Solve for f. {:[3(6-f)-4=3f-4],[f=◻]:}

Simplify the equation: Simplify the equation 3(6-f)-4 by using the distributive property. 3(6-f)-4 = 3*6 - 3*f - 4 = 18 - 3f - 4 = 14 - 3fGet all f terms on one side: Now we have the simplified equation 14 - 3f = 3f - 4. To solve for f, we need to get all the f terms on one side and the constants on the other side. Add 3f to both sides of the equation. 14 - 3f + 3f = 3f - 4 + 3f 14 = 6f - 4Isolate the term with f: Next, add 4 to both sides of the equation to isolate the term with f. 14 + 4 = 6f - 4 + 4 18 = 6fSolve for f: Finally, divide both sides by 6 to solve for f. 18 / 6 = 6f / 6 3 = f

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Solve for $f$ . $\newline$ $3(6-f)-4=3 f-4$ $\newline$ $f=$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

f

\newline

3(6-f)-4=3 f-4

\newline

f=

Simplify the equation: Simplify the equation $3(6-f)-4$ by using the distributive property. $\newline$ $3(6-f)-4$ $\newline$ $= 3 \cdot 6 - 3 \cdot f - 4$ $\newline$ $= 18 - 3f - 4$ $\newline$ $= 14 - 3f$
Get all f terms on one side: Now we have the simplified equation $14 - 3f = 3f - 4$ . $\newline$ To solve for f, we need to get all the f terms on one side and the constants on the other side. $\newline$ Add $3f$ to both sides of the equation. $\newline$ $14 - 3f + 3f = 3f - 4 + 3f$ $\newline$ $14 = 6f - 4$
Isolate the term with $f$ : Next, add $4$ to both sides of the equation to isolate the term with $f$ .
$14 + 4 = 6f - 4 + 4$
$18 = 6f$
Solve for f: Finally, divide both sides by $6$ to solve for $f$ . $\newline$ $\frac{18}{6} = \frac{6f}{6}$ $\newline$ $3 = f$