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

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Solution for 2n+5=4(n+2)+n equation:


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

Reorder the terms:
5 + 2n = 4(n + 2) + n

Reorder the terms:
5 + 2n = 4(2 + n) + n
5 + 2n = (2 * 4 + n * 4) + n
5 + 2n = (8 + 4n) + n

Combine like terms: 4n + n = 5n
5 + 2n = 8 + 5n

Solving
5 + 2n = 8 + 5n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-5n' to each side of the equation.
5 + 2n + -5n = 8 + 5n + -5n

Combine like terms: 2n + -5n = -3n
5 + -3n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
5 + -3n = 8 + 0
5 + -3n = 8

Add '-5' to each side of the equation.
5 + -5 + -3n = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -3n = 8 + -5
-3n = 8 + -5

Combine like terms: 8 + -5 = 3
-3n = 3

Divide each side by '-3'.
n = -1

Simplifying
n = -1

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