6(3n+4)=7(7n+1)+9

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Solution for 6(3n+4)=7(7n+1)+9 equation:


Simplifying
6(3n + 4) = 7(7n + 1) + 9

Reorder the terms:
6(4 + 3n) = 7(7n + 1) + 9
(4 * 6 + 3n * 6) = 7(7n + 1) + 9
(24 + 18n) = 7(7n + 1) + 9

Reorder the terms:
24 + 18n = 7(1 + 7n) + 9
24 + 18n = (1 * 7 + 7n * 7) + 9
24 + 18n = (7 + 49n) + 9

Reorder the terms:
24 + 18n = 7 + 9 + 49n

Combine like terms: 7 + 9 = 16
24 + 18n = 16 + 49n

Solving
24 + 18n = 16 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
24 + 18n + -49n = 16 + 49n + -49n

Combine like terms: 18n + -49n = -31n
24 + -31n = 16 + 49n + -49n

Combine like terms: 49n + -49n = 0
24 + -31n = 16 + 0
24 + -31n = 16

Add '-24' to each side of the equation.
24 + -24 + -31n = 16 + -24

Combine like terms: 24 + -24 = 0
0 + -31n = 16 + -24
-31n = 16 + -24

Combine like terms: 16 + -24 = -8
-31n = -8

Divide each side by '-31'.
n = 0.2580645161

Simplifying
n = 0.2580645161

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