7(2n+4)=9(7n+8)+6

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Solution for 7(2n+4)=9(7n+8)+6 equation: 


Simplifying
7(2n + 4) = 9(7n + 8) + 6

Reorder the terms:
7(4 + 2n) = 9(7n + 8) + 6
(4 * 7 + 2n * 7) = 9(7n + 8) + 6
(28 + 14n) = 9(7n + 8) + 6

Reorder the terms:
28 + 14n = 9(8 + 7n) + 6
28 + 14n = (8 * 9 + 7n * 9) + 6
28 + 14n = (72 + 63n) + 6

Reorder the terms:
28 + 14n = 72 + 6 + 63n

Combine like terms: 72 + 6 = 78
28 + 14n = 78 + 63n

Solving
28 + 14n = 78 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
28 + 14n + -63n = 78 + 63n + -63n

Combine like terms: 14n + -63n = -49n
28 + -49n = 78 + 63n + -63n

Combine like terms: 63n + -63n = 0
28 + -49n = 78 + 0
28 + -49n = 78

Add '-28' to each side of the equation.
28 + -28 + -49n = 78 + -28

Combine like terms: 28 + -28 = 0
0 + -49n = 78 + -28
-49n = 78 + -28

Combine like terms: 78 + -28 = 50
-49n = 50

Divide each side by '-49'.
n = -1.020408163

Simplifying
n = -1.020408163

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