2(3n+4)=7(5n+6)+5

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Solution for 2(3n+4)=7(5n+6)+5 equation: 


Simplifying
2(3n + 4) = 7(5n + 6) + 5

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

Reorder the terms:
8 + 6n = 7(6 + 5n) + 5
8 + 6n = (6 * 7 + 5n * 7) + 5
8 + 6n = (42 + 35n) + 5

Reorder the terms:
8 + 6n = 42 + 5 + 35n

Combine like terms: 42 + 5 = 47
8 + 6n = 47 + 35n

Solving
8 + 6n = 47 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
8 + 6n + -35n = 47 + 35n + -35n

Combine like terms: 6n + -35n = -29n
8 + -29n = 47 + 35n + -35n

Combine like terms: 35n + -35n = 0
8 + -29n = 47 + 0
8 + -29n = 47

Add '-8' to each side of the equation.
8 + -8 + -29n = 47 + -8

Combine like terms: 8 + -8 = 0
0 + -29n = 47 + -8
-29n = 47 + -8

Combine like terms: 47 + -8 = 39
-29n = 39

Divide each side by '-29'.
n = -1.344827586

Simplifying
n = -1.344827586

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