3(2n+1)=9(8n+7)+8

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Solution for 3(2n+1)=9(8n+7)+8 equation:


Simplifying
3(2n + 1) = 9(8n + 7) + 8

Reorder the terms:
3(1 + 2n) = 9(8n + 7) + 8
(1 * 3 + 2n * 3) = 9(8n + 7) + 8
(3 + 6n) = 9(8n + 7) + 8

Reorder the terms:
3 + 6n = 9(7 + 8n) + 8
3 + 6n = (7 * 9 + 8n * 9) + 8
3 + 6n = (63 + 72n) + 8

Reorder the terms:
3 + 6n = 63 + 8 + 72n

Combine like terms: 63 + 8 = 71
3 + 6n = 71 + 72n

Solving
3 + 6n = 71 + 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.
3 + 6n + -72n = 71 + 72n + -72n

Combine like terms: 6n + -72n = -66n
3 + -66n = 71 + 72n + -72n

Combine like terms: 72n + -72n = 0
3 + -66n = 71 + 0
3 + -66n = 71

Add '-3' to each side of the equation.
3 + -3 + -66n = 71 + -3

Combine like terms: 3 + -3 = 0
0 + -66n = 71 + -3
-66n = 71 + -3

Combine like terms: 71 + -3 = 68
-66n = 68

Divide each side by '-66'.
n = -1.03030303

Simplifying
n = -1.03030303

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