2(2n+5)=9(4n+7)+9

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Solution for 2(2n+5)=9(4n+7)+9 equation:


Simplifying
2(2n + 5) = 9(4n + 7) + 9

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

Reorder the terms:
10 + 4n = 9(7 + 4n) + 9
10 + 4n = (7 * 9 + 4n * 9) + 9
10 + 4n = (63 + 36n) + 9

Reorder the terms:
10 + 4n = 63 + 9 + 36n

Combine like terms: 63 + 9 = 72
10 + 4n = 72 + 36n

Solving
10 + 4n = 72 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
10 + 4n + -36n = 72 + 36n + -36n

Combine like terms: 4n + -36n = -32n
10 + -32n = 72 + 36n + -36n

Combine like terms: 36n + -36n = 0
10 + -32n = 72 + 0
10 + -32n = 72

Add '-10' to each side of the equation.
10 + -10 + -32n = 72 + -10

Combine like terms: 10 + -10 = 0
0 + -32n = 72 + -10
-32n = 72 + -10

Combine like terms: 72 + -10 = 62
-32n = 62

Divide each side by '-32'.
n = -1.9375

Simplifying
n = -1.9375

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