2(2n+5)=6(6n+1)+5

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Solution for 2(2n+5)=6(6n+1)+5 equation: 


Simplifying
2(2n + 5) = 6(6n + 1) + 5

Reorder the terms:
2(5 + 2n) = 6(6n + 1) + 5
(5 * 2 + 2n * 2) = 6(6n + 1) + 5
(10 + 4n) = 6(6n + 1) + 5

Reorder the terms:
10 + 4n = 6(1 + 6n) + 5
10 + 4n = (1 * 6 + 6n * 6) + 5
10 + 4n = (6 + 36n) + 5

Reorder the terms:
10 + 4n = 6 + 5 + 36n

Combine like terms: 6 + 5 = 11
10 + 4n = 11 + 36n

Solving
10 + 4n = 11 + 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 = 11 + 36n + -36n

Combine like terms: 4n + -36n = -32n
10 + -32n = 11 + 36n + -36n

Combine like terms: 36n + -36n = 0
10 + -32n = 11 + 0
10 + -32n = 11

Add '-10' to each side of the equation.
10 + -10 + -32n = 11 + -10

Combine like terms: 10 + -10 = 0
0 + -32n = 11 + -10
-32n = 11 + -10

Combine like terms: 11 + -10 = 1
-32n = 1

Divide each side by '-32'.
n = -0.03125

Simplifying
n = -0.03125

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