8-(n+4)=3n+6-2n

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Solution for 8-(n+4)=3n+6-2n equation:


Simplifying
8 + -1(n + 4) = 3n + 6 + -2n

Reorder the terms:
8 + -1(4 + n) = 3n + 6 + -2n
8 + (4 * -1 + n * -1) = 3n + 6 + -2n
8 + (-4 + -1n) = 3n + 6 + -2n

Combine like terms: 8 + -4 = 4
4 + -1n = 3n + 6 + -2n

Reorder the terms:
4 + -1n = 6 + 3n + -2n

Combine like terms: 3n + -2n = 1n
4 + -1n = 6 + 1n

Solving
4 + -1n = 6 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
4 + -1n + -1n = 6 + 1n + -1n

Combine like terms: -1n + -1n = -2n
4 + -2n = 6 + 1n + -1n

Combine like terms: 1n + -1n = 0
4 + -2n = 6 + 0
4 + -2n = 6

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

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

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

Divide each side by '-2'.
n = -1

Simplifying
n = -1

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