4(3n+4)=9(5n+4)+2

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Solution for 4(3n+4)=9(5n+4)+2 equation: 


Simplifying
4(3n + 4) = 9(5n + 4) + 2

Reorder the terms:
4(4 + 3n) = 9(5n + 4) + 2
(4 * 4 + 3n * 4) = 9(5n + 4) + 2
(16 + 12n) = 9(5n + 4) + 2

Reorder the terms:
16 + 12n = 9(4 + 5n) + 2
16 + 12n = (4 * 9 + 5n * 9) + 2
16 + 12n = (36 + 45n) + 2

Reorder the terms:
16 + 12n = 36 + 2 + 45n

Combine like terms: 36 + 2 = 38
16 + 12n = 38 + 45n

Solving
16 + 12n = 38 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
16 + 12n + -45n = 38 + 45n + -45n

Combine like terms: 12n + -45n = -33n
16 + -33n = 38 + 45n + -45n

Combine like terms: 45n + -45n = 0
16 + -33n = 38 + 0
16 + -33n = 38

Add '-16' to each side of the equation.
16 + -16 + -33n = 38 + -16

Combine like terms: 16 + -16 = 0
0 + -33n = 38 + -16
-33n = 38 + -16

Combine like terms: 38 + -16 = 22
-33n = 22

Divide each side by '-33'.
n = -0.6666666667

Simplifying
n = -0.6666666667

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