8(2n+4)=9(9n+3)+7

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Solution for 8(2n+4)=9(9n+3)+7 equation: 


Simplifying
8(2n + 4) = 9(9n + 3) + 7

Reorder the terms:
8(4 + 2n) = 9(9n + 3) + 7
(4 * 8 + 2n * 8) = 9(9n + 3) + 7
(32 + 16n) = 9(9n + 3) + 7

Reorder the terms:
32 + 16n = 9(3 + 9n) + 7
32 + 16n = (3 * 9 + 9n * 9) + 7
32 + 16n = (27 + 81n) + 7

Reorder the terms:
32 + 16n = 27 + 7 + 81n

Combine like terms: 27 + 7 = 34
32 + 16n = 34 + 81n

Solving
32 + 16n = 34 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
32 + 16n + -81n = 34 + 81n + -81n

Combine like terms: 16n + -81n = -65n
32 + -65n = 34 + 81n + -81n

Combine like terms: 81n + -81n = 0
32 + -65n = 34 + 0
32 + -65n = 34

Add '-32' to each side of the equation.
32 + -32 + -65n = 34 + -32

Combine like terms: 32 + -32 = 0
0 + -65n = 34 + -32
-65n = 34 + -32

Combine like terms: 34 + -32 = 2
-65n = 2

Divide each side by '-65'.
n = -0.03076923077

Simplifying
n = -0.03076923077

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