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

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


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

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

Reorder the terms:
4 + 6n = 7(8 + 5n) + 8
4 + 6n = (8 * 7 + 5n * 7) + 8
4 + 6n = (56 + 35n) + 8

Reorder the terms:
4 + 6n = 56 + 8 + 35n

Combine like terms: 56 + 8 = 64
4 + 6n = 64 + 35n

Solving
4 + 6n = 64 + 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.
4 + 6n + -35n = 64 + 35n + -35n

Combine like terms: 6n + -35n = -29n
4 + -29n = 64 + 35n + -35n

Combine like terms: 35n + -35n = 0
4 + -29n = 64 + 0
4 + -29n = 64

Add '-4' to each side of the equation.
4 + -4 + -29n = 64 + -4

Combine like terms: 4 + -4 = 0
0 + -29n = 64 + -4
-29n = 64 + -4

Combine like terms: 64 + -4 = 60
-29n = 60

Divide each side by '-29'.
n = -2.068965517

Simplifying
n = -2.068965517

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