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

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


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

Reorder the terms:
7(1 + 3n) = 9(4n + 1) + 6
(1 * 7 + 3n * 7) = 9(4n + 1) + 6
(7 + 21n) = 9(4n + 1) + 6

Reorder the terms:
7 + 21n = 9(1 + 4n) + 6
7 + 21n = (1 * 9 + 4n * 9) + 6
7 + 21n = (9 + 36n) + 6

Reorder the terms:
7 + 21n = 9 + 6 + 36n

Combine like terms: 9 + 6 = 15
7 + 21n = 15 + 36n

Solving
7 + 21n = 15 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
7 + 21n + -36n = 15 + 36n + -36n

Combine like terms: 21n + -36n = -15n
7 + -15n = 15 + 36n + -36n

Combine like terms: 36n + -36n = 0
7 + -15n = 15 + 0
7 + -15n = 15

Add '-7' to each side of the equation.
7 + -7 + -15n = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -15n = 15 + -7
-15n = 15 + -7

Combine like terms: 15 + -7 = 8
-15n = 8

Divide each side by '-15'.
n = -0.5333333333

Simplifying
n = -0.5333333333

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