Solve for r 16=9-4(2r+7)-1

$16 = 9 - 4 (2 r + 7) - 1$

Rewrite the equation as $9 - 4 (2 r + 7) - 1 = 16$ .

$9 - 4 (2 r + 7) - 1 = 16$

Simplify $9 - 4 (2 r + 7) - 1$ .

Simplify each term.

Apply the distributive property.

$9 - 4 (2 r) - 4 \cdot 7 - 1 = 16$

Multiply $2$ by $- 4$ .

$9 - 8 r - 4 \cdot 7 - 1 = 16$

Multiply $- 4$ by $7$ .

$9 - 8 r - 28 - 1 = 16$

Simplify by subtracting numbers.

Subtract $28$ from $9$ .

$- 8 r - 19 - 1 = 16$

Subtract $1$ from $- 19$ .

$- 8 r - 20 = 16$

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

Add $20$ to both sides of the equation.

$- 8 r = 16 + 20$

Add $16$ and $20$ .

$- 8 r = 36$

Divide each term in $- 8 r = 36$ by $- 8$ and simplify.

Divide each term in $- 8 r = 36$ by $- 8$ .

$\frac{- 8 r}{- 8} = \frac{36}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 r}{- 8} = \frac{36}{- 8}$

Divide $r$ by $1$ .

$r = \frac{36}{- 8}$

Simplify the right side.

Cancel the common factor of $36$ and $- 8$ .

Factor $4$ out of $36$ .

$r = \frac{4 (9)}{- 8}$

Cancel the common factors.

Factor $4$ out of $- 8$ .

$r = \frac{4 \cdot 9}{4 \cdot - 2}$

Cancel the common factor.

$r = \frac{4 \cdot 9}{4 \cdot - 2}$

Rewrite the expression.

$r = \frac{9}{- 2}$

Move the negative in front of the fraction.

$r = - \frac{9}{2}$

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{9}{2}$

Decimal Form:

$r = - 4.5$

Mixed Number Form:

$r = - 4 \frac{1}{2}$

Solve for r 16=9-4(2r+7)-1

Related Questions

Support LCMGCF.com by disabling your adblocker.