Solve for f. {:[-11 f=7(1-2f)+5],[f=◻]:}

Simplify equation using distributive property: Simplify the right side of the equation by using the distributive property. 7(1 - 2f) + 5 = 7 * 1 + 7 * (-2f) + 5 = 7 - 14f + 5Combine like terms on the right side: Combine like terms on the right side of the equation. 7 - 14f + 5 = 7 + 5 - 14f = 12 - 14fRearrange equation to isolate f: Now the equation is -11f = 12 - 14f. Bring all terms containing f to one side and constant terms to the other side. Add 14f to both sides of the equation. -11f + 14f = 12 - 14f + 14f 3f = 12Add 14f to both sides of the equation: Divide both sides of the equation by 3 to solve for f. 3f / 3 = 12 / 3 f = 4

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Solve for
f.

{:[-11 f=7(1-2f)+5],[f=◻]:}

Solve for $f$ . $\newline$ $\begin{array}{l} -11 f=7(1-2 f)+5 \\ f=\square \end{array}$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

f

\newline

\begin{array}{l} -11 f=7(1-2 f)+5 \\ f=\square \end{array}

Simplify equation using distributive property: Simplify the right side of the equation by using the distributive property. $\newline$ $7(1 - 2f) + 5$ $\newline$ $= 7 \cdot 1 + 7 \cdot (-2f) + 5$ $\newline$ $= 7 - 14f + 5$
Combine like terms on the right side: Combine like terms on the right side of the equation. $\newline$ $7 - 14f + 5$ $\newline$ = $7 + 5 - 14f$ $\newline$ = $12 - 14f$
Rearrange equation to isolate f: Now the equation is $-11f = 12 - 14f$ . Bring all terms containing $f$ to one side and constant terms to the other side. $\newline$ Add $14f$ to both sides of the equation. $\newline$ $-11f + 14f = 12 - 14f + 14f$ $\newline$ $3f = 12$
Add $14f$ to both sides of the equation: Divide both sides of the equation by $3$ to solve for $f$ . $\newline$ $\frac{3f}{3} = \frac{12}{3}$ $\newline$ $f = 4$