2(3n+1)=7(9n+3)+2

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Solution for 2(3n+1)=7(9n+3)+2 equation: 


Simplifying
2(3n + 1) = 7(9n + 3) + 2

Reorder the terms:
2(1 + 3n) = 7(9n + 3) + 2
(1 * 2 + 3n * 2) = 7(9n + 3) + 2
(2 + 6n) = 7(9n + 3) + 2

Reorder the terms:
2 + 6n = 7(3 + 9n) + 2
2 + 6n = (3 * 7 + 9n * 7) + 2
2 + 6n = (21 + 63n) + 2

Reorder the terms:
2 + 6n = 21 + 2 + 63n

Combine like terms: 21 + 2 = 23
2 + 6n = 23 + 63n

Solving
2 + 6n = 23 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
2 + 6n + -63n = 23 + 63n + -63n

Combine like terms: 6n + -63n = -57n
2 + -57n = 23 + 63n + -63n

Combine like terms: 63n + -63n = 0
2 + -57n = 23 + 0
2 + -57n = 23

Add '-2' to each side of the equation.
2 + -2 + -57n = 23 + -2

Combine like terms: 2 + -2 = 0
0 + -57n = 23 + -2
-57n = 23 + -2

Combine like terms: 23 + -2 = 21
-57n = 21

Divide each side by '-57'.
n = -0.3684210526

Simplifying
n = -0.3684210526

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