5n-2(n+4)=12+4n

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Solution for 5n-2(n+4)=12+4n equation:


Simplifying
5n + -2(n + 4) = 12 + 4n

Reorder the terms:
5n + -2(4 + n) = 12 + 4n
5n + (4 * -2 + n * -2) = 12 + 4n
5n + (-8 + -2n) = 12 + 4n

Reorder the terms:
-8 + 5n + -2n = 12 + 4n

Combine like terms: 5n + -2n = 3n
-8 + 3n = 12 + 4n

Solving
-8 + 3n = 12 + 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.
-8 + 3n + -4n = 12 + 4n + -4n

Combine like terms: 3n + -4n = -1n
-8 + -1n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
-8 + -1n = 12 + 0
-8 + -1n = 12

Add '8' to each side of the equation.
-8 + 8 + -1n = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -1n = 12 + 8
-1n = 12 + 8

Combine like terms: 12 + 8 = 20
-1n = 20

Divide each side by '-1'.
n = -20

Simplifying
n = -20

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