Basic Math Examples

$9 (r + 3) - \frac{1}{2} \cdot (4 r - 16)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 r + 9 \cdot 3 - \frac{1}{2} \cdot (4 r - 16)$

Step 1.2

Multiply $9$ by $3$ .

$9 r + 27 - \frac{1}{2} \cdot (4 r - 16)$

Step 1.3

Apply the distributive property.

$9 r + 27 - \frac{1}{2} (4 r) - \frac{1}{2} \cdot - 16$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$9 r + 27 + \frac{- 1}{2} (4 r) - \frac{1}{2} \cdot - 16$

Step 1.4.2

Factor $2$ out of $4 r$ .

$9 r + 27 + \frac{- 1}{2} (2 (2 r)) - \frac{1}{2} \cdot - 16$

Step 1.4.3

Cancel the common factor.

$9 r + 27 + \frac{- 1}{2} (2 (2 r)) - \frac{1}{2} \cdot - 16$

Step 1.4.4

Rewrite the expression.

$9 r + 27 - 1 (2 r) - \frac{1}{2} \cdot - 16$

Step 1.5

Multiply $2$ by $- 1$ .

$9 r + 27 - 2 r - \frac{1}{2} \cdot - 16$

Step 1.6

Cancel the common factor of $2$ .

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Step 1.6.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$9 r + 27 - 2 r + \frac{- 1}{2} \cdot - 16$

Step 1.6.2

Factor $2$ out of $- 16$ .

$9 r + 27 - 2 r + \frac{- 1}{2} \cdot (2 (- 8))$

Step 1.6.3

Cancel the common factor.

$9 r + 27 - 2 r + \frac{- 1}{2} \cdot (2 \cdot - 8)$

Step 1.6.4

Rewrite the expression.

$9 r + 27 - 2 r - 1 \cdot - 8$

Step 1.7

Multiply $- 1$ by $- 8$ .

$9 r + 27 - 2 r + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 r$ from $9 r$ .

$7 r + 27 + 8$

Step 2.2

Add $27$ and $8$ .

$7 r + 35$