4(2n+5)=9(4n+3)+5

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Solution for 4(2n+5)=9(4n+3)+5 equation: 


Simplifying
4(2n + 5) = 9(4n + 3) + 5

Reorder the terms:
4(5 + 2n) = 9(4n + 3) + 5
(5 * 4 + 2n * 4) = 9(4n + 3) + 5
(20 + 8n) = 9(4n + 3) + 5

Reorder the terms:
20 + 8n = 9(3 + 4n) + 5
20 + 8n = (3 * 9 + 4n * 9) + 5
20 + 8n = (27 + 36n) + 5

Reorder the terms:
20 + 8n = 27 + 5 + 36n

Combine like terms: 27 + 5 = 32
20 + 8n = 32 + 36n

Solving
20 + 8n = 32 + 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.
20 + 8n + -36n = 32 + 36n + -36n

Combine like terms: 8n + -36n = -28n
20 + -28n = 32 + 36n + -36n

Combine like terms: 36n + -36n = 0
20 + -28n = 32 + 0
20 + -28n = 32

Add '-20' to each side of the equation.
20 + -20 + -28n = 32 + -20

Combine like terms: 20 + -20 = 0
0 + -28n = 32 + -20
-28n = 32 + -20

Combine like terms: 32 + -20 = 12
-28n = 12

Divide each side by '-28'.
n = -0.4285714286

Simplifying
n = -0.4285714286

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