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)
14 + 3n = 8n + (-4 * -3 + n * -3)
14 + 3n = 8n + (12 + -3n)

Reorder the terms:
14 + 3n = 12 + 8n + -3n

Combine like terms: 8n + -3n = 5n
14 + 3n = 12 + 5n

Solving
14 + 3n = 12 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
14 + 3n + -5n = 12 + 5n + -5n

Combine like terms: 3n + -5n = -2n
14 + -2n = 12 + 5n + -5n

Combine like terms: 5n + -5n = 0
14 + -2n = 12 + 0
14 + -2n = 12

Add '-14' to each side of the equation.
14 + -14 + -2n = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -2n = 12 + -14
-2n = 12 + -14

Combine like terms: 12 + -14 = -2
-2n = -2

Divide each side by '-2'.
n = 1

Simplifying
n = 1

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