2(3n+2)=9(7n+8)+5

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Solution for 2(3n+2)=9(7n+8)+5 equation: 


Simplifying
2(3n + 2) = 9(7n + 8) + 5

Reorder the terms:
2(2 + 3n) = 9(7n + 8) + 5
(2 * 2 + 3n * 2) = 9(7n + 8) + 5
(4 + 6n) = 9(7n + 8) + 5

Reorder the terms:
4 + 6n = 9(8 + 7n) + 5
4 + 6n = (8 * 9 + 7n * 9) + 5
4 + 6n = (72 + 63n) + 5

Reorder the terms:
4 + 6n = 72 + 5 + 63n

Combine like terms: 72 + 5 = 77
4 + 6n = 77 + 63n

Solving
4 + 6n = 77 + 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.
4 + 6n + -63n = 77 + 63n + -63n

Combine like terms: 6n + -63n = -57n
4 + -57n = 77 + 63n + -63n

Combine like terms: 63n + -63n = 0
4 + -57n = 77 + 0
4 + -57n = 77

Add '-4' to each side of the equation.
4 + -4 + -57n = 77 + -4

Combine like terms: 4 + -4 = 0
0 + -57n = 77 + -4
-57n = 77 + -4

Combine like terms: 77 + -4 = 73
-57n = 73

Divide each side by '-57'.
n = -1.280701754

Simplifying
n = -1.280701754

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