6n-30=3n+6

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Solution for 6n-30=3n+6 equation:


Simplifying
6n + -30 = 3n + 6

Reorder the terms:
-30 + 6n = 3n + 6

Reorder the terms:
-30 + 6n = 6 + 3n

Solving
-30 + 6n = 6 + 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.
-30 + 6n + -3n = 6 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-30 + 3n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-30 + 3n = 6 + 0
-30 + 3n = 6

Add '30' to each side of the equation.
-30 + 30 + 3n = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 3n = 6 + 30
3n = 6 + 30

Combine like terms: 6 + 30 = 36
3n = 36

Divide each side by '3'.
n = 12

Simplifying
n = 12

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