2(2n-1)=(7n+2)+6

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Solution for 2(2n-1)=(7n+2)+6 equation: 


Simplifying
2(2n + -1) = (7n + 2) + 6

Reorder the terms:
2(-1 + 2n) = (7n + 2) + 6
(-1 * 2 + 2n * 2) = (7n + 2) + 6
(-2 + 4n) = (7n + 2) + 6

Reorder the terms:
-2 + 4n = (2 + 7n) + 6

Remove parenthesis around (2 + 7n)
-2 + 4n = 2 + 7n + 6

Reorder the terms:
-2 + 4n = 2 + 6 + 7n

Combine like terms: 2 + 6 = 8
-2 + 4n = 8 + 7n

Solving
-2 + 4n = 8 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-2 + 4n + -7n = 8 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-2 + -3n = 8 + 7n + -7n

Combine like terms: 7n + -7n = 0
-2 + -3n = 8 + 0
-2 + -3n = 8

Add '2' to each side of the equation.
-2 + 2 + -3n = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -3n = 8 + 2
-3n = 8 + 2

Combine like terms: 8 + 2 = 10
-3n = 10

Divide each side by '-3'.
n = -3.333333333

Simplifying
n = -3.333333333

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