Solve for f. {:[-f+2+4f=8-3f],[f=◻]:}

Combine like terms: Combine like terms on the left side of the equation. -f + 4f = 3f So, the equation becomes: 3f + 2 = 8 - 3fAdd f terms: Now, add 3f to both sides to get all the f terms on one side. 3f + 2 + 3f = 8 - 3f + 3f This simplifies to: 6f + 2 = 8Subtract to isolate: Next, subtract 2 from both sides to isolate the term with f. 6f + 2 - 2 = 8 - 2 This simplifies to: 6f = 6Divide to solve: Finally, divide both sides by 6 to solve for f. 6f / 6 = 6 / 6 This simplifies to: f = 1

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Solve for $f$ . $\newline$ $\begin{array}{l} -f+2+4 f=8-3 f \\ f=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

f

\newline

\begin{array}{l} -f+2+4 f=8-3 f \\ f=\square \end{array}

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $-f + 4f = 3f$ $\newline$ So, the equation becomes: $\newline$ $3f + 2 = 8 - 3f$
Add $f$ terms: Now, add $3f$ to both sides to get all the $f$ terms on one side. $\newline$ $3f + 2 + 3f = 8 - 3f + 3f$ $\newline$ This simplifies to: $\newline$ $6f + 2 = 8$
Subtract to isolate: Next, subtract $2$ from both sides to isolate the term with $f$ . $\newline$ $6f + 2 - 2 = 8 - 2$ $\newline$ This simplifies to: $\newline$ $6f = 6$
Divide to solve: Finally, divide both sides by $6$ to solve for $f$ . $\newline$ $\frac{6f}{6} = \frac{6}{6}$ $\newline$ This simplifies to: $\newline$ $f = 1$