Solve for r 2r+49=-8(-r-5)

$2 r + 49 = - 8 (- r - 5)$

Simplify $- 8 (- r - 5)$ .

Rewrite.

$2 r + 49 = 0 + 0 - 8 (- r - 5)$

Simplify by adding zeros.

$2 r + 49 = - 8 (- r - 5)$

Apply the distributive property.

$2 r + 49 = - 8 (- r) - 8 \cdot - 5$

Multiply.

Multiply $- 1$ by $- 8$ .

$2 r + 49 = 8 r - 8 \cdot - 5$

Multiply $- 8$ by $- 5$ .

$2 r + 49 = 8 r + 40$

Move all terms containing $r$ to the left side of the equation.

Subtract $8 r$ from both sides of the equation.

$2 r + 49 - 8 r = 40$

Subtract $8 r$ from $2 r$ .

$- 6 r + 49 = 40$

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

Subtract $49$ from both sides of the equation.

$- 6 r = 40 - 49$

Subtract $49$ from $40$ .

$- 6 r = - 9$

Divide each term in $- 6 r = - 9$ by $- 6$ and simplify.

Divide each term in $- 6 r = - 9$ by $- 6$ .

$\frac{- 6 r}{- 6} = \frac{- 9}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 r}{- 6} = \frac{- 9}{- 6}$

Divide $r$ by $1$ .

$r = \frac{- 9}{- 6}$

Simplify the right side.

Cancel the common factor of $- 9$ and $- 6$ .

Factor $- 3$ out of $- 9$ .

$r = \frac{- 3 (3)}{- 6}$

Cancel the common factors.

Factor $- 3$ out of $- 6$ .

$r = \frac{- 3 \cdot 3}{- 3 \cdot 2}$

Cancel the common factor.

$r = \frac{- 3 \cdot 3}{- 3 \cdot 2}$

Rewrite the expression.

$r = \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$r = \frac{3}{2}$

Decimal Form:

$r = 1.5$

Mixed Number Form:

$r = 1 \frac{1}{2}$

Solve for r 2r+49=-8(-r-5)

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