7(3n+4)=9(9n+5)+6

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Solution for 7(3n+4)=9(9n+5)+6 equation: 


Simplifying
7(3n + 4) = 9(9n + 5) + 6

Reorder the terms:
7(4 + 3n) = 9(9n + 5) + 6
(4 * 7 + 3n * 7) = 9(9n + 5) + 6
(28 + 21n) = 9(9n + 5) + 6

Reorder the terms:
28 + 21n = 9(5 + 9n) + 6
28 + 21n = (5 * 9 + 9n * 9) + 6
28 + 21n = (45 + 81n) + 6

Reorder the terms:
28 + 21n = 45 + 6 + 81n

Combine like terms: 45 + 6 = 51
28 + 21n = 51 + 81n

Solving
28 + 21n = 51 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
28 + 21n + -81n = 51 + 81n + -81n

Combine like terms: 21n + -81n = -60n
28 + -60n = 51 + 81n + -81n

Combine like terms: 81n + -81n = 0
28 + -60n = 51 + 0
28 + -60n = 51

Add '-28' to each side of the equation.
28 + -28 + -60n = 51 + -28

Combine like terms: 28 + -28 = 0
0 + -60n = 51 + -28
-60n = 51 + -28

Combine like terms: 51 + -28 = 23
-60n = 23

Divide each side by '-60'.
n = -0.3833333333

Simplifying
n = -0.3833333333

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