n-2+2n=4(-6+n)+7(-n+4)

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Solution for n-2+2n=4(-6+n)+7(-n+4) equation: 


Simplifying
n + -2 + 2n = 4(-6 + n) + 7(-1n + 4)

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

Combine like terms: n + 2n = 3n
-2 + 3n = 4(-6 + n) + 7(-1n + 4)
-2 + 3n = (-6 * 4 + n * 4) + 7(-1n + 4)
-2 + 3n = (-24 + 4n) + 7(-1n + 4)

Reorder the terms:
-2 + 3n = -24 + 4n + 7(4 + -1n)
-2 + 3n = -24 + 4n + (4 * 7 + -1n * 7)
-2 + 3n = -24 + 4n + (28 + -7n)

Reorder the terms:
-2 + 3n = -24 + 28 + 4n + -7n

Combine like terms: -24 + 28 = 4
-2 + 3n = 4 + 4n + -7n

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

Solving
-2 + 3n = 4 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-2 + 3n + 3n = 4 + -3n + 3n

Combine like terms: 3n + 3n = 6n
-2 + 6n = 4 + -3n + 3n

Combine like terms: -3n + 3n = 0
-2 + 6n = 4 + 0
-2 + 6n = 4

Add '2' to each side of the equation.
-2 + 2 + 6n = 4 + 2

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

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

Divide each side by '6'.
n = 1

Simplifying
n = 1

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