4(3n+2)=9(4n+8)+3

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Solution for 4(3n+2)=9(4n+8)+3 equation: 


Simplifying
4(3n + 2) = 9(4n + 8) + 3

Reorder the terms:
4(2 + 3n) = 9(4n + 8) + 3
(2 * 4 + 3n * 4) = 9(4n + 8) + 3
(8 + 12n) = 9(4n + 8) + 3

Reorder the terms:
8 + 12n = 9(8 + 4n) + 3
8 + 12n = (8 * 9 + 4n * 9) + 3
8 + 12n = (72 + 36n) + 3

Reorder the terms:
8 + 12n = 72 + 3 + 36n

Combine like terms: 72 + 3 = 75
8 + 12n = 75 + 36n

Solving
8 + 12n = 75 + 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.
8 + 12n + -36n = 75 + 36n + -36n

Combine like terms: 12n + -36n = -24n
8 + -24n = 75 + 36n + -36n

Combine like terms: 36n + -36n = 0
8 + -24n = 75 + 0
8 + -24n = 75

Add '-8' to each side of the equation.
8 + -8 + -24n = 75 + -8

Combine like terms: 8 + -8 = 0
0 + -24n = 75 + -8
-24n = 75 + -8

Combine like terms: 75 + -8 = 67
-24n = 67

Divide each side by '-24'.
n = -2.791666667

Simplifying
n = -2.791666667

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