6(n-2)-3(4-2n)=2n+16

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Solution for 6(n-2)-3(4-2n)=2n+16 equation: 


Simplifying
6(n + -2) + -3(4 + -2n) = 2n + 16

Reorder the terms:
6(-2 + n) + -3(4 + -2n) = 2n + 16
(-2 * 6 + n * 6) + -3(4 + -2n) = 2n + 16
(-12 + 6n) + -3(4 + -2n) = 2n + 16
-12 + 6n + (4 * -3 + -2n * -3) = 2n + 16
-12 + 6n + (-12 + 6n) = 2n + 16

Reorder the terms:
-12 + -12 + 6n + 6n = 2n + 16

Combine like terms: -12 + -12 = -24
-24 + 6n + 6n = 2n + 16

Combine like terms: 6n + 6n = 12n
-24 + 12n = 2n + 16

Reorder the terms:
-24 + 12n = 16 + 2n

Solving
-24 + 12n = 16 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-24 + 12n + -2n = 16 + 2n + -2n

Combine like terms: 12n + -2n = 10n
-24 + 10n = 16 + 2n + -2n

Combine like terms: 2n + -2n = 0
-24 + 10n = 16 + 0
-24 + 10n = 16

Add '24' to each side of the equation.
-24 + 24 + 10n = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 10n = 16 + 24
10n = 16 + 24

Combine like terms: 16 + 24 = 40
10n = 40

Divide each side by '10'.
n = 4

Simplifying
n = 4

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