6n+3=3n-21-6

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Solution for 6n+3=3n-21-6 equation:


Simplifying
6n + 3 = 3n + -21 + -6

Reorder the terms:
3 + 6n = 3n + -21 + -6

Reorder the terms:
3 + 6n = -21 + -6 + 3n

Combine like terms: -21 + -6 = -27
3 + 6n = -27 + 3n

Solving
3 + 6n = -27 + 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.
3 + 6n + -3n = -27 + 3n + -3n

Combine like terms: 6n + -3n = 3n
3 + 3n = -27 + 3n + -3n

Combine like terms: 3n + -3n = 0
3 + 3n = -27 + 0
3 + 3n = -27

Add '-3' to each side of the equation.
3 + -3 + 3n = -27 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = -27 + -3
3n = -27 + -3

Combine like terms: -27 + -3 = -30
3n = -30

Divide each side by '3'.
n = -10

Simplifying
n = -10

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