Solve for r 5(r-10)=-51

$5 (r - 10) = - 51$

Divide each term in $5 (r - 10) = - 51$ by $5$ and simplify.

Divide each term in $5 (r - 10) = - 51$ by $5$ .

$\frac{5 (r - 10)}{5} = \frac{- 51}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (r - 10)}{5} = \frac{- 51}{5}$

Divide $r - 10$ by $1$ .

$r - 10 = \frac{- 51}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$r - 10 = - \frac{51}{5}$

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

Add $10$ to both sides of the equation.

$r = - \frac{51}{5} + 10$

To write $10$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$r = - \frac{51}{5} + 10 \cdot \frac{5}{5}$

Combine $10$ and $\frac{5}{5}$ .

$r = - \frac{51}{5} + \frac{10 \cdot 5}{5}$

Combine the numerators over the common denominator.

$r = \frac{- 51 + 10 \cdot 5}{5}$

Simplify the numerator.

Multiply $10$ by $5$ .

$r = \frac{- 51 + 50}{5}$

Add $- 51$ and $50$ .

$r = \frac{- 1}{5}$

Move the negative in front of the fraction.

$r = - \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{1}{5}$

Decimal Form:

$r = - 0.2$