3(4n+1)-9=6(2-n)

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Solution for 3(4n+1)-9=6(2-n) equation:


Simplifying
3(4n + 1) + -9 = 6(2 + -1n)

Reorder the terms:
3(1 + 4n) + -9 = 6(2 + -1n)
(1 * 3 + 4n * 3) + -9 = 6(2 + -1n)
(3 + 12n) + -9 = 6(2 + -1n)

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

Combine like terms: 3 + -9 = -6
-6 + 12n = 6(2 + -1n)
-6 + 12n = (2 * 6 + -1n * 6)
-6 + 12n = (12 + -6n)

Solving
-6 + 12n = 12 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-6 + 12n + 6n = 12 + -6n + 6n

Combine like terms: 12n + 6n = 18n
-6 + 18n = 12 + -6n + 6n

Combine like terms: -6n + 6n = 0
-6 + 18n = 12 + 0
-6 + 18n = 12

Add '6' to each side of the equation.
-6 + 6 + 18n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 18n = 12 + 6
18n = 12 + 6

Combine like terms: 12 + 6 = 18
18n = 18

Divide each side by '18'.
n = 1

Simplifying
n = 1

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