n+(n+2)*2=4*(n+2)+2

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


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

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

Reorder the terms for easier multiplication:
n + 2(2 + n) = 4(n + 2) + 2
n + (2 * 2 + n * 2) = 4(n + 2) + 2
n + (4 + 2n) = 4(n + 2) + 2

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

Combine like terms: n + 2n = 3n
4 + 3n = 4(n + 2) + 2

Reorder the terms:
4 + 3n = 4(2 + n) + 2
4 + 3n = (2 * 4 + n * 4) + 2
4 + 3n = (8 + 4n) + 2

Reorder the terms:
4 + 3n = 8 + 2 + 4n

Combine like terms: 8 + 2 = 10
4 + 3n = 10 + 4n

Solving
4 + 3n = 10 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
4 + 3n + -4n = 10 + 4n + -4n

Combine like terms: 3n + -4n = -1n
4 + -1n = 10 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + -1n = 10 + 0
4 + -1n = 10

Add '-4' to each side of the equation.
4 + -4 + -1n = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 10 + -4
-1n = 10 + -4

Combine like terms: 10 + -4 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6

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