6(3n+2)=6(6n+9)1

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Solution for 6(3n+2)=6(6n+9)1 equation:


Simplifying
6(3n + 2) = 6(6n + 9) * 1

Reorder the terms:
6(2 + 3n) = 6(6n + 9) * 1
(2 * 6 + 3n * 6) = 6(6n + 9) * 1
(12 + 18n) = 6(6n + 9) * 1

Reorder the terms:
12 + 18n = 6(9 + 6n) * 1

Reorder the terms for easier multiplication:
12 + 18n = 6 * 1(9 + 6n)

Multiply 6 * 1
12 + 18n = 6(9 + 6n)
12 + 18n = (9 * 6 + 6n * 6)
12 + 18n = (54 + 36n)

Solving
12 + 18n = 54 + 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.
12 + 18n + -36n = 54 + 36n + -36n

Combine like terms: 18n + -36n = -18n
12 + -18n = 54 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -18n = 54 + 0
12 + -18n = 54

Add '-12' to each side of the equation.
12 + -12 + -18n = 54 + -12

Combine like terms: 12 + -12 = 0
0 + -18n = 54 + -12
-18n = 54 + -12

Combine like terms: 54 + -12 = 42
-18n = 42

Divide each side by '-18'.
n = -2.333333333

Simplifying
n = -2.333333333

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