14+3n=8n-3+(n-4)

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Solution for 14+3n=8n-3+(n-4) equation: 


Simplifying
14 + 3n = 8n + -3 + (n + -4)

Reorder the terms:
14 + 3n = 8n + -3 + (-4 + n)

Remove parenthesis around (-4 + n)
14 + 3n = 8n + -3 + -4 + n

Reorder the terms:
14 + 3n = -3 + -4 + 8n + n

Combine like terms: -3 + -4 = -7
14 + 3n = -7 + 8n + n

Combine like terms: 8n + n = 9n
14 + 3n = -7 + 9n

Solving
14 + 3n = -7 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
14 + 3n + -9n = -7 + 9n + -9n

Combine like terms: 3n + -9n = -6n
14 + -6n = -7 + 9n + -9n

Combine like terms: 9n + -9n = 0
14 + -6n = -7 + 0
14 + -6n = -7

Add '-14' to each side of the equation.
14 + -14 + -6n = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -6n = -7 + -14
-6n = -7 + -14

Combine like terms: -7 + -14 = -21
-6n = -21

Divide each side by '-6'.
n = 3.5

Simplifying
n = 3.5

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