Basic Math Examples

$- 3 (- 6 k + 6) - (3 k + 2) - 5 k + 10$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 (- 6 k) - 3 \cdot 6 - (3 k + 2) - 5 k + 10$

Step 1.2

Multiply $- 6$ by $- 3$ .

$18 k - 3 \cdot 6 - (3 k + 2) - 5 k + 10$

Step 1.3

Multiply $- 3$ by $6$ .

$18 k - 18 - (3 k + 2) - 5 k + 10$

Step 1.4

Apply the distributive property.

$18 k - 18 - (3 k) - 1 \cdot 2 - 5 k + 10$

Step 1.5

Multiply $3$ by $- 1$ .

$18 k - 18 - 3 k - 1 \cdot 2 - 5 k + 10$

Step 1.6

Multiply $- 1$ by $2$ .

$18 k - 18 - 3 k - 2 - 5 k + 10$

$18 k - 18 - 3 k - 2 - 5 k + 10$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 k$ from $18 k$ .

$15 k - 18 - 2 - 5 k + 10$

Step 2.2

Subtract $5 k$ from $15 k$ .

$10 k - 18 - 2 + 10$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $2$ from $- 18$ .

$10 k - 20 + 10$

Step 2.3.2

Add $- 20$ and $10$ .

$10 k - 10$

$10 k - 10$

$10 k - 10$

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