2(3n+4)=7(5n+9)+2

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Solution for 2(3n+4)=7(5n+9)+2 equation: 


Simplifying
2(3n + 4) = 7(5n + 9) + 2

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

Reorder the terms:
8 + 6n = 7(9 + 5n) + 2
8 + 6n = (9 * 7 + 5n * 7) + 2
8 + 6n = (63 + 35n) + 2

Reorder the terms:
8 + 6n = 63 + 2 + 35n

Combine like terms: 63 + 2 = 65
8 + 6n = 65 + 35n

Solving
8 + 6n = 65 + 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 = 65 + 35n + -35n

Combine like terms: 6n + -35n = -29n
8 + -29n = 65 + 35n + -35n

Combine like terms: 35n + -35n = 0
8 + -29n = 65 + 0
8 + -29n = 65

Add '-8' to each side of the equation.
8 + -8 + -29n = 65 + -8

Combine like terms: 8 + -8 = 0
0 + -29n = 65 + -8
-29n = 65 + -8

Combine like terms: 65 + -8 = 57
-29n = 57

Divide each side by '-29'.
n = -1.965517241

Simplifying
n = -1.965517241

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