2(3n+1)=7(6n+4)+1

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Solution for 2(3n+1)=7(6n+4)+1 equation: 


Simplifying
2(3n + 1) = 7(6n + 4) + 1

Reorder the terms:
2(1 + 3n) = 7(6n + 4) + 1
(1 * 2 + 3n * 2) = 7(6n + 4) + 1
(2 + 6n) = 7(6n + 4) + 1

Reorder the terms:
2 + 6n = 7(4 + 6n) + 1
2 + 6n = (4 * 7 + 6n * 7) + 1
2 + 6n = (28 + 42n) + 1

Reorder the terms:
2 + 6n = 28 + 1 + 42n

Combine like terms: 28 + 1 = 29
2 + 6n = 29 + 42n

Solving
2 + 6n = 29 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
2 + 6n + -42n = 29 + 42n + -42n

Combine like terms: 6n + -42n = -36n
2 + -36n = 29 + 42n + -42n

Combine like terms: 42n + -42n = 0
2 + -36n = 29 + 0
2 + -36n = 29

Add '-2' to each side of the equation.
2 + -2 + -36n = 29 + -2

Combine like terms: 2 + -2 = 0
0 + -36n = 29 + -2
-36n = 29 + -2

Combine like terms: 29 + -2 = 27
-36n = 27

Divide each side by '-36'.
n = -0.75

Simplifying
n = -0.75

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