Basic Math Examples

$- 2 (r - 6) - 4 (3 r - 7) - 19 r$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 r - 2 \cdot - 6 - 4 (3 r - 7) - 19 r$

Step 1.2

Multiply $- 2$ by $- 6$ .

$- 2 r + 12 - 4 (3 r - 7) - 19 r$

Step 1.3

Apply the distributive property.

$- 2 r + 12 - 4 (3 r) - 4 \cdot - 7 - 19 r$

Step 1.4

Multiply $3$ by $- 4$ .

$- 2 r + 12 - 12 r - 4 \cdot - 7 - 19 r$

Step 1.5

Multiply $- 4$ by $- 7$ .

$- 2 r + 12 - 12 r + 28 - 19 r$

$- 2 r + 12 - 12 r + 28 - 19 r$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $12 r$ from $- 2 r$ .

$- 14 r + 12 + 28 - 19 r$

Step 2.2

Subtract $19 r$ from $- 14 r$ .

$- 33 r + 12 + 28$

Step 2.3

Add $12$ and $28$ .

$- 33 r + 40$

$- 33 r + 40$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$