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

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


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

Reorder the terms:
3(1 + 2n) = 9(9n + 9) + 9
(1 * 3 + 2n * 3) = 9(9n + 9) + 9
(3 + 6n) = 9(9n + 9) + 9

Reorder the terms:
3 + 6n = 9(9 + 9n) + 9
3 + 6n = (9 * 9 + 9n * 9) + 9
3 + 6n = (81 + 81n) + 9

Reorder the terms:
3 + 6n = 81 + 9 + 81n

Combine like terms: 81 + 9 = 90
3 + 6n = 90 + 81n

Solving
3 + 6n = 90 + 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.
3 + 6n + -81n = 90 + 81n + -81n

Combine like terms: 6n + -81n = -75n
3 + -75n = 90 + 81n + -81n

Combine like terms: 81n + -81n = 0
3 + -75n = 90 + 0
3 + -75n = 90

Add '-3' to each side of the equation.
3 + -3 + -75n = 90 + -3

Combine like terms: 3 + -3 = 0
0 + -75n = 90 + -3
-75n = 90 + -3

Combine like terms: 90 + -3 = 87
-75n = 87

Divide each side by '-75'.
n = -1.16

Simplifying
n = -1.16

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