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

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


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

Reorder the terms:
6(2 + 3n) = 6(5n + 2) + 6
(2 * 6 + 3n * 6) = 6(5n + 2) + 6
(12 + 18n) = 6(5n + 2) + 6

Reorder the terms:
12 + 18n = 6(2 + 5n) + 6
12 + 18n = (2 * 6 + 5n * 6) + 6
12 + 18n = (12 + 30n) + 6

Reorder the terms:
12 + 18n = 12 + 6 + 30n

Combine like terms: 12 + 6 = 18
12 + 18n = 18 + 30n

Solving
12 + 18n = 18 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
12 + 18n + -30n = 18 + 30n + -30n

Combine like terms: 18n + -30n = -12n
12 + -12n = 18 + 30n + -30n

Combine like terms: 30n + -30n = 0
12 + -12n = 18 + 0
12 + -12n = 18

Add '-12' to each side of the equation.
12 + -12 + -12n = 18 + -12

Combine like terms: 12 + -12 = 0
0 + -12n = 18 + -12
-12n = 18 + -12

Combine like terms: 18 + -12 = 6
-12n = 6

Divide each side by '-12'.
n = -0.5

Simplifying
n = -0.5

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