4(3n+4)=9(4n+6)+1

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Solution for 4(3n+4)=9(4n+6)+1 equation: 


Simplifying
4(3n + 4) = 9(4n + 6) + 1

Reorder the terms:
4(4 + 3n) = 9(4n + 6) + 1
(4 * 4 + 3n * 4) = 9(4n + 6) + 1
(16 + 12n) = 9(4n + 6) + 1

Reorder the terms:
16 + 12n = 9(6 + 4n) + 1
16 + 12n = (6 * 9 + 4n * 9) + 1
16 + 12n = (54 + 36n) + 1

Reorder the terms:
16 + 12n = 54 + 1 + 36n

Combine like terms: 54 + 1 = 55
16 + 12n = 55 + 36n

Solving
16 + 12n = 55 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
16 + 12n + -36n = 55 + 36n + -36n

Combine like terms: 12n + -36n = -24n
16 + -24n = 55 + 36n + -36n

Combine like terms: 36n + -36n = 0
16 + -24n = 55 + 0
16 + -24n = 55

Add '-16' to each side of the equation.
16 + -16 + -24n = 55 + -16

Combine like terms: 16 + -16 = 0
0 + -24n = 55 + -16
-24n = 55 + -16

Combine like terms: 55 + -16 = 39
-24n = 39

Divide each side by '-24'.
n = -1.625

Simplifying
n = -1.625

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