28-5n=2(3n-8)

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Solution for 28-5n=2(3n-8) equation:


Simplifying
28 + -5n = 2(3n + -8)

Reorder the terms:
28 + -5n = 2(-8 + 3n)
28 + -5n = (-8 * 2 + 3n * 2)
28 + -5n = (-16 + 6n)

Solving
28 + -5n = -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.
28 + -5n + -6n = -16 + 6n + -6n

Combine like terms: -5n + -6n = -11n
28 + -11n = -16 + 6n + -6n

Combine like terms: 6n + -6n = 0
28 + -11n = -16 + 0
28 + -11n = -16

Add '-28' to each side of the equation.
28 + -28 + -11n = -16 + -28

Combine like terms: 28 + -28 = 0
0 + -11n = -16 + -28
-11n = -16 + -28

Combine like terms: -16 + -28 = -44
-11n = -44

Divide each side by '-11'.
n = 4

Simplifying
n = 4

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