2(n+1)-4=8-1(4n+2)

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Solution for 2(n+1)-4=8-1(4n+2) equation:


Simplifying
2(n + 1) + -4 = 8 + -1(4n + 2)

Reorder the terms:
2(1 + n) + -4 = 8 + -1(4n + 2)
(1 * 2 + n * 2) + -4 = 8 + -1(4n + 2)
(2 + 2n) + -4 = 8 + -1(4n + 2)

Reorder the terms:
2 + -4 + 2n = 8 + -1(4n + 2)

Combine like terms: 2 + -4 = -2
-2 + 2n = 8 + -1(4n + 2)

Reorder the terms:
-2 + 2n = 8 + -1(2 + 4n)
-2 + 2n = 8 + (2 * -1 + 4n * -1)
-2 + 2n = 8 + (-2 + -4n)

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

Solving
-2 + 2n = 6 + -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.
-2 + 2n + 4n = 6 + -4n + 4n

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

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

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

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

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

Divide each side by '6'.
n = 1.333333333

Simplifying
n = 1.333333333

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