6[n-1]=2[2n+4]

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Solution for 6[n-1]=2[2n+4] equation:


Simplifying
6[n + -1] = 2[2n + 4]

Reorder the terms:
6[-1 + n] = 2[2n + 4]
[-1 * 6 + n * 6] = 2[2n + 4]
[-6 + 6n] = 2[2n + 4]

Reorder the terms:
-6 + 6n = 2[4 + 2n]
-6 + 6n = [4 * 2 + 2n * 2]
-6 + 6n = [8 + 4n]

Solving
-6 + 6n = 8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-6 + 6n + -4n = 8 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-6 + 2n = 8 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + 2n = 8 + 0
-6 + 2n = 8

Add '6' to each side of the equation.
-6 + 6 + 2n = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 8 + 6
2n = 8 + 6

Combine like terms: 8 + 6 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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