4(2n+2)=9(9n+6)+9

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


Simplifying
4(2n + 2) = 9(9n + 6) + 9

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

Reorder the terms:
8 + 8n = 9(6 + 9n) + 9
8 + 8n = (6 * 9 + 9n * 9) + 9
8 + 8n = (54 + 81n) + 9

Reorder the terms:
8 + 8n = 54 + 9 + 81n

Combine like terms: 54 + 9 = 63
8 + 8n = 63 + 81n

Solving
8 + 8n = 63 + 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.
8 + 8n + -81n = 63 + 81n + -81n

Combine like terms: 8n + -81n = -73n
8 + -73n = 63 + 81n + -81n

Combine like terms: 81n + -81n = 0
8 + -73n = 63 + 0
8 + -73n = 63

Add '-8' to each side of the equation.
8 + -8 + -73n = 63 + -8

Combine like terms: 8 + -8 = 0
0 + -73n = 63 + -8
-73n = 63 + -8

Combine like terms: 63 + -8 = 55
-73n = 55

Divide each side by '-73'.
n = -0.7534246575

Simplifying
n = -0.7534246575

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