4(3n+4)=6(5n+9)+4

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Solution for 4(3n+4)=6(5n+9)+4 equation: 


Simplifying
4(3n + 4) = 6(5n + 9) + 4

Reorder the terms:
4(4 + 3n) = 6(5n + 9) + 4
(4 * 4 + 3n * 4) = 6(5n + 9) + 4
(16 + 12n) = 6(5n + 9) + 4

Reorder the terms:
16 + 12n = 6(9 + 5n) + 4
16 + 12n = (9 * 6 + 5n * 6) + 4
16 + 12n = (54 + 30n) + 4

Reorder the terms:
16 + 12n = 54 + 4 + 30n

Combine like terms: 54 + 4 = 58
16 + 12n = 58 + 30n

Solving
16 + 12n = 58 + 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.
16 + 12n + -30n = 58 + 30n + -30n

Combine like terms: 12n + -30n = -18n
16 + -18n = 58 + 30n + -30n

Combine like terms: 30n + -30n = 0
16 + -18n = 58 + 0
16 + -18n = 58

Add '-16' to each side of the equation.
16 + -16 + -18n = 58 + -16

Combine like terms: 16 + -16 = 0
0 + -18n = 58 + -16
-18n = 58 + -16

Combine like terms: 58 + -16 = 42
-18n = 42

Divide each side by '-18'.
n = -2.333333333

Simplifying
n = -2.333333333

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