6(3n+2)=9(7n+4)+2

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Solution for 6(3n+2)=9(7n+4)+2 equation: 


Simplifying
6(3n + 2) = 9(7n + 4) + 2

Reorder the terms:
6(2 + 3n) = 9(7n + 4) + 2
(2 * 6 + 3n * 6) = 9(7n + 4) + 2
(12 + 18n) = 9(7n + 4) + 2

Reorder the terms:
12 + 18n = 9(4 + 7n) + 2
12 + 18n = (4 * 9 + 7n * 9) + 2
12 + 18n = (36 + 63n) + 2

Reorder the terms:
12 + 18n = 36 + 2 + 63n

Combine like terms: 36 + 2 = 38
12 + 18n = 38 + 63n

Solving
12 + 18n = 38 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
12 + 18n + -63n = 38 + 63n + -63n

Combine like terms: 18n + -63n = -45n
12 + -45n = 38 + 63n + -63n

Combine like terms: 63n + -63n = 0
12 + -45n = 38 + 0
12 + -45n = 38

Add '-12' to each side of the equation.
12 + -12 + -45n = 38 + -12

Combine like terms: 12 + -12 = 0
0 + -45n = 38 + -12
-45n = 38 + -12

Combine like terms: 38 + -12 = 26
-45n = 26

Divide each side by '-45'.
n = -0.5777777778

Simplifying
n = -0.5777777778

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