4(3n+2)=9(9n+1)+4

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Solution for 4(3n+2)=9(9n+1)+4 equation:


Simplifying
4(3n + 2) = 9(9n + 1) + 4

Reorder the terms:
4(2 + 3n) = 9(9n + 1) + 4
(2 * 4 + 3n * 4) = 9(9n + 1) + 4
(8 + 12n) = 9(9n + 1) + 4

Reorder the terms:
8 + 12n = 9(1 + 9n) + 4
8 + 12n = (1 * 9 + 9n * 9) + 4
8 + 12n = (9 + 81n) + 4

Reorder the terms:
8 + 12n = 9 + 4 + 81n

Combine like terms: 9 + 4 = 13
8 + 12n = 13 + 81n

Solving
8 + 12n = 13 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
8 + 12n + -81n = 13 + 81n + -81n

Combine like terms: 12n + -81n = -69n
8 + -69n = 13 + 81n + -81n

Combine like terms: 81n + -81n = 0
8 + -69n = 13 + 0
8 + -69n = 13

Add '-8' to each side of the equation.
8 + -8 + -69n = 13 + -8

Combine like terms: 8 + -8 = 0
0 + -69n = 13 + -8
-69n = 13 + -8

Combine like terms: 13 + -8 = 5
-69n = 5

Divide each side by '-69'.
n = -0.07246376812

Simplifying
n = -0.07246376812

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