2(2n+5)=9(9n+8)+2

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Solution for 2(2n+5)=9(9n+8)+2 equation: 


Simplifying
2(2n + 5) = 9(9n + 8) + 2

Reorder the terms:
2(5 + 2n) = 9(9n + 8) + 2
(5 * 2 + 2n * 2) = 9(9n + 8) + 2
(10 + 4n) = 9(9n + 8) + 2

Reorder the terms:
10 + 4n = 9(8 + 9n) + 2
10 + 4n = (8 * 9 + 9n * 9) + 2
10 + 4n = (72 + 81n) + 2

Reorder the terms:
10 + 4n = 72 + 2 + 81n

Combine like terms: 72 + 2 = 74
10 + 4n = 74 + 81n

Solving
10 + 4n = 74 + 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 + 4n + -81n = 74 + 81n + -81n

Combine like terms: 4n + -81n = -77n
10 + -77n = 74 + 81n + -81n

Combine like terms: 81n + -81n = 0
10 + -77n = 74 + 0
10 + -77n = 74

Add '-10' to each side of the equation.
10 + -10 + -77n = 74 + -10

Combine like terms: 10 + -10 = 0
0 + -77n = 74 + -10
-77n = 74 + -10

Combine like terms: 74 + -10 = 64
-77n = 64

Divide each side by '-77'.
n = -0.8311688312

Simplifying
n = -0.8311688312

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