14-2n=4(n-2)+4

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Solution for 14-2n=4(n-2)+4 equation:


Simplifying
14 + -2n = 4(n + -2) + 4

Reorder the terms:
14 + -2n = 4(-2 + n) + 4
14 + -2n = (-2 * 4 + n * 4) + 4
14 + -2n = (-8 + 4n) + 4

Reorder the terms:
14 + -2n = -8 + 4 + 4n

Combine like terms: -8 + 4 = -4
14 + -2n = -4 + 4n

Solving
14 + -2n = -4 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
14 + -2n + -4n = -4 + 4n + -4n

Combine like terms: -2n + -4n = -6n
14 + -6n = -4 + 4n + -4n

Combine like terms: 4n + -4n = 0
14 + -6n = -4 + 0
14 + -6n = -4

Add '-14' to each side of the equation.
14 + -14 + -6n = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -6n = -4 + -14
-6n = -4 + -14

Combine like terms: -4 + -14 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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