2(n+2)=5n+2

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


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

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

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

Solving
4 + 2n = 2 + 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.
4 + 2n + -5n = 2 + 5n + -5n

Combine like terms: 2n + -5n = -3n
4 + -3n = 2 + 5n + -5n

Combine like terms: 5n + -5n = 0
4 + -3n = 2 + 0
4 + -3n = 2

Add '-4' to each side of the equation.
4 + -4 + -3n = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -3n = 2 + -4
-3n = 2 + -4

Combine like terms: 2 + -4 = -2
-3n = -2

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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