6n+4=3n-11

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Solution for 6n+4=3n-11 equation:


Simplifying
6n + 4 = 3n + -11

Reorder the terms:
4 + 6n = 3n + -11

Reorder the terms:
4 + 6n = -11 + 3n

Solving
4 + 6n = -11 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
4 + 6n + -3n = -11 + 3n + -3n

Combine like terms: 6n + -3n = 3n
4 + 3n = -11 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + 3n = -11 + 0
4 + 3n = -11

Add '-4' to each side of the equation.
4 + -4 + 3n = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = -11 + -4
3n = -11 + -4

Combine like terms: -11 + -4 = -15
3n = -15

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

Simplifying
n = -5

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