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

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


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

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

Reorder the terms:
2 + 4n = 9(6 + 8n) + 7
2 + 4n = (6 * 9 + 8n * 9) + 7
2 + 4n = (54 + 72n) + 7

Reorder the terms:
2 + 4n = 54 + 7 + 72n

Combine like terms: 54 + 7 = 61
2 + 4n = 61 + 72n

Solving
2 + 4n = 61 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
2 + 4n + -72n = 61 + 72n + -72n

Combine like terms: 4n + -72n = -68n
2 + -68n = 61 + 72n + -72n

Combine like terms: 72n + -72n = 0
2 + -68n = 61 + 0
2 + -68n = 61

Add '-2' to each side of the equation.
2 + -2 + -68n = 61 + -2

Combine like terms: 2 + -2 = 0
0 + -68n = 61 + -2
-68n = 61 + -2

Combine like terms: 61 + -2 = 59
-68n = 59

Divide each side by '-68'.
n = -0.8676470588

Simplifying
n = -0.8676470588

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