Algebra Examples

$0.6 (10 n + 25) = 10 + 5 n$

Step 1

Simplify $0.6 (10 n + 25)$ .

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Step 1.1

Rewrite.

$0 + 0 + 0.6 (10 n + 25) = 10 + 5 n$

Step 1.2

Simplify by adding zeros.

$0.6 (10 n + 25) = 10 + 5 n$

Step 1.3

Apply the distributive property.

$0.6 (10 n) + 0.6 \cdot 25 = 10 + 5 n$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $10$ by $0.6$ .

$6 n + 0.6 \cdot 25 = 10 + 5 n$

Step 1.4.2

Multiply $0.6$ by $25$ .

$6 n + 15 = 10 + 5 n$

Step 2

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

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Step 2.1

Subtract $5 n$ from both sides of the equation.

$6 n + 15 - 5 n = 10$

Step 2.2

Subtract $5 n$ from $6 n$ .

$n + 15 = 10$

Step 3

Move all terms not containing $n$ to the right side of the equation.

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Step 3.1

Subtract $15$ from both sides of the equation.

$n = 10 - 15$

Step 3.2

Subtract $15$ from $10$ .

$n = - 5$