8=4(n-2)+4-n

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Solution for 8=4(n-2)+4-n equation:


Simplifying
8 = 4(n + -2) + 4 + -1n

Reorder the terms:
8 = 4(-2 + n) + 4 + -1n
8 = (-2 * 4 + n * 4) + 4 + -1n
8 = (-8 + 4n) + 4 + -1n

Reorder the terms:
8 = -8 + 4 + 4n + -1n

Combine like terms: -8 + 4 = -4
8 = -4 + 4n + -1n

Combine like terms: 4n + -1n = 3n
8 = -4 + 3n

Solving
8 = -4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + -3n = -4 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -3n = -4 + 0
8 + -3n = -4

Add '-8' to each side of the equation.
8 + -8 + -3n = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = -4 + -8
-3n = -4 + -8

Combine like terms: -4 + -8 = -12
-3n = -12

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

Simplifying
n = 4

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