9(3n+4)=7(6n+8)+6

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Solution for 9(3n+4)=7(6n+8)+6 equation: 


Simplifying
9(3n + 4) = 7(6n + 8) + 6

Reorder the terms:
9(4 + 3n) = 7(6n + 8) + 6
(4 * 9 + 3n * 9) = 7(6n + 8) + 6
(36 + 27n) = 7(6n + 8) + 6

Reorder the terms:
36 + 27n = 7(8 + 6n) + 6
36 + 27n = (8 * 7 + 6n * 7) + 6
36 + 27n = (56 + 42n) + 6

Reorder the terms:
36 + 27n = 56 + 6 + 42n

Combine like terms: 56 + 6 = 62
36 + 27n = 62 + 42n

Solving
36 + 27n = 62 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
36 + 27n + -42n = 62 + 42n + -42n

Combine like terms: 27n + -42n = -15n
36 + -15n = 62 + 42n + -42n

Combine like terms: 42n + -42n = 0
36 + -15n = 62 + 0
36 + -15n = 62

Add '-36' to each side of the equation.
36 + -36 + -15n = 62 + -36

Combine like terms: 36 + -36 = 0
0 + -15n = 62 + -36
-15n = 62 + -36

Combine like terms: 62 + -36 = 26
-15n = 26

Divide each side by '-15'.
n = -1.733333333

Simplifying
n = -1.733333333

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