Solve for f. Give an exact answer. {:[4(0.5 f-0.25)=6+f],[f=◻]:}

Simplify left side: Simplify the left side of the first equation. We have 4(0.5f - 0.25) = 6 + f. Distribute the 4 into the parentheses to simplify the left side. 4 * 0.5f - 4 * 0.25 = 6 + f 2f - 1 = 6 + fMove term involving f: Move the term involving f on the right side to the left side. To isolate f on one side, subtract f from both sides of the equation. 2f - f - 1 = 6 + f - f f - 1 = 6Isolate f: Isolate f by adding 1 to both sides of the equation. Add 1 to both sides to solve for f. f - 1 + 1 = 6 + 1 f = 7

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Solve for
f.
Give an exact answer.

{:[4(0.5 f-0.25)=6+f],[f=◻]:}

Solve for $f$ . $\newline$ Give an exact answer. $\newline$ $4(0.5 f-0.25)=6+f$ $\newline$ $f=$

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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

4(0.5 f-0.25)=6+f

\newline

f=

Simplify left side: Simplify the left side of the first equation. $\newline$ We have $4(0.5f - 0.25) = 6 + f$ . Distribute the $4$ into the parentheses to simplify the left side. $\newline$ $4 \times 0.5f - 4 \times 0.25 = 6 + f$ $\newline$ $2f - 1 = 6 + f$
Move term involving $f$ : Move the term involving $f$ on the right side to the left side. $\newline$ To isolate $f$ on one side, subtract $f$ from both sides of the equation. $\newline$ $2f - f - 1 = 6 + f - f$ $\newline$ $f - 1 = 6$
Isolate f: Isolate f by adding $1$ to both sides of the equation. $\newline$ Add $1$ to both sides to solve for f. $\newline$ $f - 1 + 1 = 6 + 1$ $\newline$ $f = 7$