Solve for f. -9 + 8f = -6 + 5f f = ____

Rearrange terms: First, we want to gather all the f terms on one side of the equation and the constant terms on the other side. We can do this by adding 9 to both sides and subtracting 5f from both sides. -9 + 8f + 9 - 5f = -6 + 5f + 9 - 5fCombine like terms: Now, we simplify both sides of the equation by combining like terms. (8f - 5f) + (-9 + 9) = (-6 + 9) + (5f - 5f) 3f + 0 = 3 + 0Remove zeros: We can see that the zeros do not affect the equation, so we can remove them to simplify further. 3f = 3Divide by 3: To solve for f, we divide both sides of the equation by 3. 3f / 3 = 3 / 3Final value: After dividing, we get the value of f. f = 1

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Solve for $f$ . $\newline$ $-9 + 8f = -6 + 5f$

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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

-9 + 8f = -6 + 5f

Rearrange terms: First, we want to gather all the $f$ terms on one side of the equation and the constant terms on the other side. We can do this by adding $9$ to both sides and subtracting $5f$ from both sides. $-9 + 8f + 9 - 5f = -6 + 5f + 9 - 5f$
Combine like terms: Now, we simplify both sides of the equation by combining like terms. $\newline$ $(8f - 5f) + (-9 + 9) = (-6 + 9) + (5f - 5f)$ $\newline$ $3f + 0 = 3 + 0$
Remove zeros: We can see that the zeros do not affect the equation, so we can remove them to simplify further. $3f = 3$
Divide by $3$ : To solve for $f$ , we divide both sides of the equation by $3$ . $\frac{3f}{3} = \frac{3}{3}$
Final value: After dividing, we get the value of $f$ . $f = 1$