8(2n+1)=7(4n+6)+9

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Solution for 8(2n+1)=7(4n+6)+9 equation: 


Simplifying
8(2n + 1) = 7(4n + 6) + 9

Reorder the terms:
8(1 + 2n) = 7(4n + 6) + 9
(1 * 8 + 2n * 8) = 7(4n + 6) + 9
(8 + 16n) = 7(4n + 6) + 9

Reorder the terms:
8 + 16n = 7(6 + 4n) + 9
8 + 16n = (6 * 7 + 4n * 7) + 9
8 + 16n = (42 + 28n) + 9

Reorder the terms:
8 + 16n = 42 + 9 + 28n

Combine like terms: 42 + 9 = 51
8 + 16n = 51 + 28n

Solving
8 + 16n = 51 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
8 + 16n + -28n = 51 + 28n + -28n

Combine like terms: 16n + -28n = -12n
8 + -12n = 51 + 28n + -28n

Combine like terms: 28n + -28n = 0
8 + -12n = 51 + 0
8 + -12n = 51

Add '-8' to each side of the equation.
8 + -8 + -12n = 51 + -8

Combine like terms: 8 + -8 = 0
0 + -12n = 51 + -8
-12n = 51 + -8

Combine like terms: 51 + -8 = 43
-12n = 43

Divide each side by '-12'.
n = -3.583333333

Simplifying
n = -3.583333333

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