3(3n-1)=6(5+2n)

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Solution for 3(3n-1)=6(5+2n) equation:


Simplifying
3(3n + -1) = 6(5 + 2n)

Reorder the terms:
3(-1 + 3n) = 6(5 + 2n)
(-1 * 3 + 3n * 3) = 6(5 + 2n)
(-3 + 9n) = 6(5 + 2n)
-3 + 9n = (5 * 6 + 2n * 6)
-3 + 9n = (30 + 12n)

Solving
-3 + 9n = 30 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-3 + 9n + -12n = 30 + 12n + -12n

Combine like terms: 9n + -12n = -3n
-3 + -3n = 30 + 12n + -12n

Combine like terms: 12n + -12n = 0
-3 + -3n = 30 + 0
-3 + -3n = 30

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

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

Combine like terms: 30 + 3 = 33
-3n = 33

Divide each side by '-3'.
n = -11

Simplifying
n = -11

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