2(2n+5)=9(2n+9)+7

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Solution for 2(2n+5)=9(2n+9)+7 equation: 


Simplifying
2(2n + 5) = 9(2n + 9) + 7

Reorder the terms:
2(5 + 2n) = 9(2n + 9) + 7
(5 * 2 + 2n * 2) = 9(2n + 9) + 7
(10 + 4n) = 9(2n + 9) + 7

Reorder the terms:
10 + 4n = 9(9 + 2n) + 7
10 + 4n = (9 * 9 + 2n * 9) + 7
10 + 4n = (81 + 18n) + 7

Reorder the terms:
10 + 4n = 81 + 7 + 18n

Combine like terms: 81 + 7 = 88
10 + 4n = 88 + 18n

Solving
10 + 4n = 88 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
10 + 4n + -18n = 88 + 18n + -18n

Combine like terms: 4n + -18n = -14n
10 + -14n = 88 + 18n + -18n

Combine like terms: 18n + -18n = 0
10 + -14n = 88 + 0
10 + -14n = 88

Add '-10' to each side of the equation.
10 + -10 + -14n = 88 + -10

Combine like terms: 10 + -10 = 0
0 + -14n = 88 + -10
-14n = 88 + -10

Combine like terms: 88 + -10 = 78
-14n = 78

Divide each side by '-14'.
n = -5.571428571

Simplifying
n = -5.571428571

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