54=n+(3n+2)+(4n-4)

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Solution for 54=n+(3n+2)+(4n-4) equation:


Simplifying
54 = n + (3n + 2) + (4n + -4)

Reorder the terms:
54 = n + (2 + 3n) + (4n + -4)

Remove parenthesis around (2 + 3n)
54 = n + 2 + 3n + (4n + -4)

Reorder the terms:
54 = n + 2 + 3n + (-4 + 4n)

Remove parenthesis around (-4 + 4n)
54 = n + 2 + 3n + -4 + 4n

Reorder the terms:
54 = 2 + -4 + n + 3n + 4n

Combine like terms: 2 + -4 = -2
54 = -2 + n + 3n + 4n

Combine like terms: n + 3n = 4n
54 = -2 + 4n + 4n

Combine like terms: 4n + 4n = 8n
54 = -2 + 8n

Solving
54 = -2 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
54 + -8n = -2 + 8n + -8n

Combine like terms: 8n + -8n = 0
54 + -8n = -2 + 0
54 + -8n = -2

Add '-54' to each side of the equation.
54 + -54 + -8n = -2 + -54

Combine like terms: 54 + -54 = 0
0 + -8n = -2 + -54
-8n = -2 + -54

Combine like terms: -2 + -54 = -56
-8n = -56

Divide each side by '-8'.
n = 7

Simplifying
n = 7

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