5(3n+2)=9(9n+9)+5

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Solution for 5(3n+2)=9(9n+9)+5 equation: 


Simplifying
5(3n + 2) = 9(9n + 9) + 5

Reorder the terms:
5(2 + 3n) = 9(9n + 9) + 5
(2 * 5 + 3n * 5) = 9(9n + 9) + 5
(10 + 15n) = 9(9n + 9) + 5

Reorder the terms:
10 + 15n = 9(9 + 9n) + 5
10 + 15n = (9 * 9 + 9n * 9) + 5
10 + 15n = (81 + 81n) + 5

Reorder the terms:
10 + 15n = 81 + 5 + 81n

Combine like terms: 81 + 5 = 86
10 + 15n = 86 + 81n

Solving
10 + 15n = 86 + 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.
10 + 15n + -81n = 86 + 81n + -81n

Combine like terms: 15n + -81n = -66n
10 + -66n = 86 + 81n + -81n

Combine like terms: 81n + -81n = 0
10 + -66n = 86 + 0
10 + -66n = 86

Add '-10' to each side of the equation.
10 + -10 + -66n = 86 + -10

Combine like terms: 10 + -10 = 0
0 + -66n = 86 + -10
-66n = 86 + -10

Combine like terms: 86 + -10 = 76
-66n = 76

Divide each side by '-66'.
n = -1.151515152

Simplifying
n = -1.151515152

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