7(2n+2)=6(4n+7)+9

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Solution for 7(2n+2)=6(4n+7)+9 equation: 


Simplifying
7(2n + 2) = 6(4n + 7) + 9

Reorder the terms:
7(2 + 2n) = 6(4n + 7) + 9
(2 * 7 + 2n * 7) = 6(4n + 7) + 9
(14 + 14n) = 6(4n + 7) + 9

Reorder the terms:
14 + 14n = 6(7 + 4n) + 9
14 + 14n = (7 * 6 + 4n * 6) + 9
14 + 14n = (42 + 24n) + 9

Reorder the terms:
14 + 14n = 42 + 9 + 24n

Combine like terms: 42 + 9 = 51
14 + 14n = 51 + 24n

Solving
14 + 14n = 51 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
14 + 14n + -24n = 51 + 24n + -24n

Combine like terms: 14n + -24n = -10n
14 + -10n = 51 + 24n + -24n

Combine like terms: 24n + -24n = 0
14 + -10n = 51 + 0
14 + -10n = 51

Add '-14' to each side of the equation.
14 + -14 + -10n = 51 + -14

Combine like terms: 14 + -14 = 0
0 + -10n = 51 + -14
-10n = 51 + -14

Combine like terms: 51 + -14 = 37
-10n = 37

Divide each side by '-10'.
n = -3.7

Simplifying
n = -3.7

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