2(2n+1)=9(4n+3)+1

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Solution for 2(2n+1)=9(4n+3)+1 equation: 


Simplifying
2(2n + 1) = 9(4n + 3) + 1

Reorder the terms:
2(1 + 2n) = 9(4n + 3) + 1
(1 * 2 + 2n * 2) = 9(4n + 3) + 1
(2 + 4n) = 9(4n + 3) + 1

Reorder the terms:
2 + 4n = 9(3 + 4n) + 1
2 + 4n = (3 * 9 + 4n * 9) + 1
2 + 4n = (27 + 36n) + 1

Reorder the terms:
2 + 4n = 27 + 1 + 36n

Combine like terms: 27 + 1 = 28
2 + 4n = 28 + 36n

Solving
2 + 4n = 28 + 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.
2 + 4n + -36n = 28 + 36n + -36n

Combine like terms: 4n + -36n = -32n
2 + -32n = 28 + 36n + -36n

Combine like terms: 36n + -36n = 0
2 + -32n = 28 + 0
2 + -32n = 28

Add '-2' to each side of the equation.
2 + -2 + -32n = 28 + -2

Combine like terms: 2 + -2 = 0
0 + -32n = 28 + -2
-32n = 28 + -2

Combine like terms: 28 + -2 = 26
-32n = 26

Divide each side by '-32'.
n = -0.8125

Simplifying
n = -0.8125

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