2[11+3n]=12n

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Solution for 2[11+3n]=12n equation:


Simplifying
2[11 + 3n] = 12n
[11 * 2 + 3n * 2] = 12n
[22 + 6n] = 12n

Solving
22 + 6n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
22 + 6n + -12n = 12n + -12n

Combine like terms: 6n + -12n = -6n
22 + -6n = 12n + -12n

Combine like terms: 12n + -12n = 0
22 + -6n = 0

Add '-22' to each side of the equation.
22 + -22 + -6n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -6n = 0 + -22
-6n = 0 + -22

Combine like terms: 0 + -22 = -22
-6n = -22

Divide each side by '-6'.
n = 3.666666667

Simplifying
n = 3.666666667

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