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 = -8n
14 + -8n = -12 + 5n + -5n

Combine like terms: 5n + -5n = 0
14 + -8n = -12 + 0
14 + -8n = -12

Add '-14' to each side of the equation.
14 + -14 + -8n = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -8n = -12 + -14
-8n = -12 + -14

Combine like terms: -12 + -14 = -26
-8n = -26

Divide each side by '-8'.
n = 3.25

Simplifying
n = 3.25

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