5n + 3 = 2 (n + 2) + 3n

N = ?

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Simplifying

5n + 3 = 2 (n + 2) + 3n

Reorder the terms:

3 + 5n = 2 (n + 2) + 3n

Reorder the terms:

3 + 5n = 2 (2 + n) + 3n

3 + 5n = (2 * 2 + n * 2) + 3n

3 + 5n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n

3 + 5n = 4 + 5n

Add '-5n' to each side of the equation.

3 + 5n + - 5n = 4 + 5n + - 5n

Combine like terms: 5n + - 5n = 0

3 + 0 = 4 + 5n + - 5n

3 = 4 + 5n + - 5n

Combine like terms: 5n + - 5n = 0

3 = 4 + 0

3 = 4

Solving

3 = 4

The left and right sides are not equal, therefore there is no solution.