14+3n=18n-3(n-4)

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Solution for 14+3n=18n-3(n-4) equation:


Simplifying
14 + 3n = 18n + -3(n + -4)

Reorder the terms:
14 + 3n = 18n + -3(-4 + n)
14 + 3n = 18n + (-4 * -3 + n * -3)
14 + 3n = 18n + (12 + -3n)

Reorder the terms:
14 + 3n = 12 + 18n + -3n

Combine like terms: 18n + -3n = 15n
14 + 3n = 12 + 15n

Solving
14 + 3n = 12 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
14 + 3n + -15n = 12 + 15n + -15n

Combine like terms: 3n + -15n = -12n
14 + -12n = 12 + 15n + -15n

Combine like terms: 15n + -15n = 0
14 + -12n = 12 + 0
14 + -12n = 12

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

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

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

Divide each side by '-12'.
n = 0.1666666667

Simplifying
n = 0.1666666667

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