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

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


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

Reorder the terms:
6(2 + 3n) = 7(6n + 9) + 3
(2 * 6 + 3n * 6) = 7(6n + 9) + 3
(12 + 18n) = 7(6n + 9) + 3

Reorder the terms:
12 + 18n = 7(9 + 6n) + 3
12 + 18n = (9 * 7 + 6n * 7) + 3
12 + 18n = (63 + 42n) + 3

Reorder the terms:
12 + 18n = 63 + 3 + 42n

Combine like terms: 63 + 3 = 66
12 + 18n = 66 + 42n

Solving
12 + 18n = 66 + 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.
12 + 18n + -42n = 66 + 42n + -42n

Combine like terms: 18n + -42n = -24n
12 + -24n = 66 + 42n + -42n

Combine like terms: 42n + -42n = 0
12 + -24n = 66 + 0
12 + -24n = 66

Add '-12' to each side of the equation.
12 + -12 + -24n = 66 + -12

Combine like terms: 12 + -12 = 0
0 + -24n = 66 + -12
-24n = 66 + -12

Combine like terms: 66 + -12 = 54
-24n = 54

Divide each side by '-24'.
n = -2.25

Simplifying
n = -2.25

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