16=2(n-3)+2(2n+2)

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Solution for 16=2(n-3)+2(2n+2) equation:


Simplifying
16 = 2(n + -3) + 2(2n + 2)

Reorder the terms:
16 = 2(-3 + n) + 2(2n + 2)
16 = (-3 * 2 + n * 2) + 2(2n + 2)
16 = (-6 + 2n) + 2(2n + 2)

Reorder the terms:
16 = -6 + 2n + 2(2 + 2n)
16 = -6 + 2n + (2 * 2 + 2n * 2)
16 = -6 + 2n + (4 + 4n)

Reorder the terms:
16 = -6 + 4 + 2n + 4n

Combine like terms: -6 + 4 = -2
16 = -2 + 2n + 4n

Combine like terms: 2n + 4n = 6n
16 = -2 + 6n

Solving
16 = -2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
16 + -6n = -2 + 6n + -6n

Combine like terms: 6n + -6n = 0
16 + -6n = -2 + 0
16 + -6n = -2

Add '-16' to each side of the equation.
16 + -16 + -6n = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -6n = -2 + -16
-6n = -2 + -16

Combine like terms: -2 + -16 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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