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

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Solution for 78=n+(4n-4)+(3n+2) equation:


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

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

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

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

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

Reorder the terms:
78 = -4 + 2 + n + 4n + 3n

Combine like terms: -4 + 2 = -2
78 = -2 + n + 4n + 3n

Combine like terms: n + 4n = 5n
78 = -2 + 5n + 3n

Combine like terms: 5n + 3n = 8n
78 = -2 + 8n

Solving
78 = -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.
78 + -8n = -2 + 8n + -8n

Combine like terms: 8n + -8n = 0
78 + -8n = -2 + 0
78 + -8n = -2

Add '-78' to each side of the equation.
78 + -78 + -8n = -2 + -78

Combine like terms: 78 + -78 = 0
0 + -8n = -2 + -78
-8n = -2 + -78

Combine like terms: -2 + -78 = -80
-8n = -80

Divide each side by '-8'.
n = 10

Simplifying
n = 10

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