2(2n+1)=7(9n+5)+4

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Solution for 2(2n+1)=7(9n+5)+4 equation: 


Simplifying
2(2n + 1) = 7(9n + 5) + 4

Reorder the terms:
2(1 + 2n) = 7(9n + 5) + 4
(1 * 2 + 2n * 2) = 7(9n + 5) + 4
(2 + 4n) = 7(9n + 5) + 4

Reorder the terms:
2 + 4n = 7(5 + 9n) + 4
2 + 4n = (5 * 7 + 9n * 7) + 4
2 + 4n = (35 + 63n) + 4

Reorder the terms:
2 + 4n = 35 + 4 + 63n

Combine like terms: 35 + 4 = 39
2 + 4n = 39 + 63n

Solving
2 + 4n = 39 + 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 + 4n + -63n = 39 + 63n + -63n

Combine like terms: 4n + -63n = -59n
2 + -59n = 39 + 63n + -63n

Combine like terms: 63n + -63n = 0
2 + -59n = 39 + 0
2 + -59n = 39

Add '-2' to each side of the equation.
2 + -2 + -59n = 39 + -2

Combine like terms: 2 + -2 = 0
0 + -59n = 39 + -2
-59n = 39 + -2

Combine like terms: 39 + -2 = 37
-59n = 37

Divide each side by '-59'.
n = -0.6271186441

Simplifying
n = -0.6271186441

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