7(3n+2)=6(9n+2)+7

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Solution for 7(3n+2)=6(9n+2)+7 equation:


Simplifying
7(3n + 2) = 6(9n + 2) + 7

Reorder the terms:
7(2 + 3n) = 6(9n + 2) + 7
(2 * 7 + 3n * 7) = 6(9n + 2) + 7
(14 + 21n) = 6(9n + 2) + 7

Reorder the terms:
14 + 21n = 6(2 + 9n) + 7
14 + 21n = (2 * 6 + 9n * 6) + 7
14 + 21n = (12 + 54n) + 7

Reorder the terms:
14 + 21n = 12 + 7 + 54n

Combine like terms: 12 + 7 = 19
14 + 21n = 19 + 54n

Solving
14 + 21n = 19 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
14 + 21n + -54n = 19 + 54n + -54n

Combine like terms: 21n + -54n = -33n
14 + -33n = 19 + 54n + -54n

Combine like terms: 54n + -54n = 0
14 + -33n = 19 + 0
14 + -33n = 19

Add '-14' to each side of the equation.
14 + -14 + -33n = 19 + -14

Combine like terms: 14 + -14 = 0
0 + -33n = 19 + -14
-33n = 19 + -14

Combine like terms: 19 + -14 = 5
-33n = 5

Divide each side by '-33'.
n = -0.1515151515

Simplifying
n = -0.1515151515

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