50=2(n+6)+2(5n-5)

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Solution for 50=2(n+6)+2(5n-5) equation: 


Simplifying
50 = 2(n + 6) + 2(5n + -5)

Reorder the terms:
50 = 2(6 + n) + 2(5n + -5)
50 = (6 * 2 + n * 2) + 2(5n + -5)
50 = (12 + 2n) + 2(5n + -5)

Reorder the terms:
50 = 12 + 2n + 2(-5 + 5n)
50 = 12 + 2n + (-5 * 2 + 5n * 2)
50 = 12 + 2n + (-10 + 10n)

Reorder the terms:
50 = 12 + -10 + 2n + 10n

Combine like terms: 12 + -10 = 2
50 = 2 + 2n + 10n

Combine like terms: 2n + 10n = 12n
50 = 2 + 12n

Solving
50 = 2 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
50 + -12n = 2 + 12n + -12n

Combine like terms: 12n + -12n = 0
50 + -12n = 2 + 0
50 + -12n = 2

Add '-50' to each side of the equation.
50 + -50 + -12n = 2 + -50

Combine like terms: 50 + -50 = 0
0 + -12n = 2 + -50
-12n = 2 + -50

Combine like terms: 2 + -50 = -48
-12n = -48

Divide each side by '-12'.
n = 4

Simplifying
n = 4

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