6n=30+3(n-3)

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


Simplifying
6n = 30 + 3(n + -3)

Reorder the terms:
6n = 30 + 3(-3 + n)
6n = 30 + (-3 * 3 + n * 3)
6n = 30 + (-9 + 3n)

Combine like terms: 30 + -9 = 21
6n = 21 + 3n

Solving
6n = 21 + 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.
6n + -3n = 21 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
3n = 21 + 0
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7

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