2(n-2)=n-16+5n

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Solution for 2(n-2)=n-16+5n equation:


Simplifying
2(n + -2) = n + -16 + 5n

Reorder the terms:
2(-2 + n) = n + -16 + 5n
(-2 * 2 + n * 2) = n + -16 + 5n
(-4 + 2n) = n + -16 + 5n

Reorder the terms:
-4 + 2n = -16 + n + 5n

Combine like terms: n + 5n = 6n
-4 + 2n = -16 + 6n

Solving
-4 + 2n = -16 + 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.
-4 + 2n + -6n = -16 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
-4 + -4n = -16 + 0
-4 + -4n = -16

Add '4' to each side of the equation.
-4 + 4 + -4n = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -4n = -16 + 4
-4n = -16 + 4

Combine like terms: -16 + 4 = -12
-4n = -12

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

Simplifying
n = 3

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