3(3n+4)=6(5n+2)+4

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Solution for 3(3n+4)=6(5n+2)+4 equation:


Simplifying
3(3n + 4) = 6(5n + 2) + 4

Reorder the terms:
3(4 + 3n) = 6(5n + 2) + 4
(4 * 3 + 3n * 3) = 6(5n + 2) + 4
(12 + 9n) = 6(5n + 2) + 4

Reorder the terms:
12 + 9n = 6(2 + 5n) + 4
12 + 9n = (2 * 6 + 5n * 6) + 4
12 + 9n = (12 + 30n) + 4

Reorder the terms:
12 + 9n = 12 + 4 + 30n

Combine like terms: 12 + 4 = 16
12 + 9n = 16 + 30n

Solving
12 + 9n = 16 + 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 + 9n + -30n = 16 + 30n + -30n

Combine like terms: 9n + -30n = -21n
12 + -21n = 16 + 30n + -30n

Combine like terms: 30n + -30n = 0
12 + -21n = 16 + 0
12 + -21n = 16

Add '-12' to each side of the equation.
12 + -12 + -21n = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -21n = 16 + -12
-21n = 16 + -12

Combine like terms: 16 + -12 = 4
-21n = 4

Divide each side by '-21'.
n = -0.1904761905

Simplifying
n = -0.1904761905

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