2n+2=5(n-2)

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


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

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

Reorder the terms:
2 + 2n = 5(-2 + n)
2 + 2n = (-2 * 5 + n * 5)
2 + 2n = (-10 + 5n)

Solving
2 + 2n = -10 + 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.
2 + 2n + -5n = -10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
2 + -3n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -3n = -10 + 0
2 + -3n = -10

Add '-2' to each side of the equation.
2 + -2 + -3n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -10 + -2
-3n = -10 + -2

Combine like terms: -10 + -2 = -12
-3n = -12

Divide each side by '-3'.
n = 4

Simplifying
n = 4

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