Pre-Algebra Examples

$- 2 (5 r + 3) + 6 (6 r + 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 (5 r) - 2 \cdot 3 + 6 (6 r + 9)$

Step 1.2

Multiply $5$ by $- 2$ .

$- 10 r - 2 \cdot 3 + 6 (6 r + 9)$

Step 1.3

Multiply $- 2$ by $3$ .

$- 10 r - 6 + 6 (6 r + 9)$

Step 1.4

Apply the distributive property.

$- 10 r - 6 + 6 (6 r) + 6 \cdot 9$

Step 1.5

Multiply $6$ by $6$ .

$- 10 r - 6 + 36 r + 6 \cdot 9$

Step 1.6

Multiply $6$ by $9$ .

$- 10 r - 6 + 36 r + 54$

$- 10 r - 6 + 36 r + 54$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 10 r$ and $36 r$ .

$26 r - 6 + 54$

Step 2.2

Add $- 6$ and $54$ .

$26 r + 48$

$26 r + 48$

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