Basic Math Examples

$- 2 (6 - 10 n) = 10 (2 n - 6)$

Step 1

Simplify $- 2 (6 - 10 n)$ .

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Step 1.1

Rewrite.

$0 + 0 - 2 (6 - 10 n) = 10 (2 n - 6)$

Step 1.2

Simplify by adding zeros.

$- 2 (6 - 10 n) = 10 (2 n - 6)$

Step 1.3

Apply the distributive property.

$- 2 \cdot 6 - 2 (- 10 n) = 10 (2 n - 6)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 2$ by $6$ .

$- 12 - 2 (- 10 n) = 10 (2 n - 6)$

Step 1.4.2

Multiply $- 10$ by $- 2$ .

$- 12 + 20 n = 10 (2 n - 6)$

Step 2

Simplify $10 (2 n - 6)$ .

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Step 2.1

Apply the distributive property.

$- 12 + 20 n = 10 (2 n) + 10 \cdot - 6$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $10$ .

$- 12 + 20 n = 20 n + 10 \cdot - 6$

Step 2.2.2

Multiply $10$ by $- 6$ .

$- 12 + 20 n = 20 n - 60$

Step 3

Move all terms containing $n$ to the left side of the equation.

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Step 3.1

Subtract $20 n$ from both sides of the equation.

$- 12 + 20 n - 20 n = - 60$

Step 3.2

Combine the opposite terms in $- 12 + 20 n - 20 n$ .

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Step 3.2.1

Subtract $20 n$ from $20 n$ .

$- 12 + 0 = - 60$

Step 3.2.2

Add $- 12$ and $0$ .

$- 12 = - 60$

Step 4

Since $- 12 \neq - 60$ , there are no solutions.

No solution