Solve for f -4/5f+1=-13

$- \frac{4}{5} f + 1 = - 13$

Simplify each term.

Combine $f$ and $\frac{4}{5}$ .

$- \frac{f \cdot 4}{5} + 1 = - 13$

Move $4$ to the left of $f$ .

$- \frac{4 f}{5} + 1 = - 13$

Move all terms not containing $f$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$- \frac{4 f}{5} = - 13 - 1$

Subtract $1$ from $- 13$ .

$- \frac{4 f}{5} = - 14$

Multiply both sides of the equation by $- \frac{5}{4}$ .

$- \frac{5}{4} (- \frac{4 f}{5}) = - \frac{5}{4} \cdot - 14$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{4} (- \frac{4 f}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$\frac{- 5}{4} (- \frac{4 f}{5}) = - \frac{5}{4} \cdot - 14$

Move the leading negative in $- \frac{4 f}{5}$ into the numerator.

$\frac{- 5}{4} \cdot \frac{- 4 f}{5} = - \frac{5}{4} \cdot - 14$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{4} \cdot \frac{- 4 f}{5} = - \frac{5}{4} \cdot - 14$

Cancel the common factor.

$\frac{5 \cdot - 1}{4} \cdot \frac{- 4 f}{5} = - \frac{5}{4} \cdot - 14$

Rewrite the expression.

$\frac{- 1}{4} (- 4 f) = - \frac{5}{4} \cdot - 14$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4 f$ .

$\frac{- 1}{4} (4 (- f)) = - \frac{5}{4} \cdot - 14$

Cancel the common factor.

$\frac{- 1}{4} (4 (- f)) = - \frac{5}{4} \cdot - 14$

Rewrite the expression.

$- - f = - \frac{5}{4} \cdot - 14$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 f = - \frac{5}{4} \cdot - 14$

Multiply $f$ by $1$ .

$f = - \frac{5}{4} \cdot - 14$

Simplify the right side.

Simplify $- \frac{5}{4} \cdot - 14$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$f = \frac{- 5}{4} \cdot - 14$

Factor $2$ out of $4$ .

$f = \frac{- 5}{2 (2)} \cdot - 14$

Factor $2$ out of $- 14$ .

$f = \frac{- 5}{2 \cdot 2} \cdot (2 \cdot - 7)$

Cancel the common factor.

$f = \frac{- 5}{2 \cdot 2} \cdot (2 \cdot - 7)$

Rewrite the expression.

$f = \frac{- 5}{2} \cdot - 7$

Combine $\frac{- 5}{2}$ and $- 7$ .

$f = \frac{- 5 \cdot - 7}{2}$

Multiply $- 5$ by $- 7$ .

$f = \frac{35}{2}$

The result can be shown in multiple forms.

Exact Form:

$f = \frac{35}{2}$

Decimal Form:

$f = 17.5$

Mixed Number Form:

$f = 17 \frac{1}{2}$

Solve for f -4/5f+1=-13

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