2(3n+2)=n-11

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Solution for 2(3n+2)=n-11 equation:


Simplifying
2(3n + 2) = n + -11

Reorder the terms:
2(2 + 3n) = n + -11
(2 * 2 + 3n * 2) = n + -11
(4 + 6n) = n + -11

Reorder the terms:
4 + 6n = -11 + n

Solving
4 + 6n = -11 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
4 + 6n + -1n = -11 + n + -1n

Combine like terms: 6n + -1n = 5n
4 + 5n = -11 + n + -1n

Combine like terms: n + -1n = 0
4 + 5n = -11 + 0
4 + 5n = -11

Add '-4' to each side of the equation.
4 + -4 + 5n = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 5n = -11 + -4
5n = -11 + -4

Combine like terms: -11 + -4 = -15
5n = -15

Divide each side by '5'.
n = -3

Simplifying
n = -3

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