Solve for n 0.2(n+100)+n=56

$0.2 (n + 100) + n = 56$

Simplify $0.2 (n + 100) + n$ .

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Simplify each term.

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Apply the distributive property.

$0.2 n + 0.2 \cdot 100 + n = 56$

Multiply $0.2$ by $100$ .

$0.2 n + 20 + n = 56$

Add $0.2 n$ and $n$ .

$1.2 n + 20 = 56$

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

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Subtract $20$ from both sides of the equation.

$1.2 n = 56 - 20$

Subtract $20$ from $56$ .

$1.2 n = 36$

Divide each term by $1.2$ and simplify.

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Divide each term in $1.2 n = 36$ by $1.2$ .

$\frac{1.2 n}{1.2} = \frac{36}{1.2}$

Cancel the common factor of $1.2$ .

$n = \frac{36}{1.2}$

Divide $36$ by $1.2$ .

$n = 30$

Solve for n 0.2(n+100)+n=56