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

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


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

Reorder the terms:
3(-4 + n) + 8 = -1(2n + -4)
(-4 * 3 + n * 3) + 8 = -1(2n + -4)
(-12 + 3n) + 8 = -1(2n + -4)

Reorder the terms:
-12 + 8 + 3n = -1(2n + -4)

Combine like terms: -12 + 8 = -4
-4 + 3n = -1(2n + -4)

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

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

Solving for variable 'n'.

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

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

Combine like terms: 3n + 2n = 5n
-4 + 5n = 4 + -2n + 2n

Combine like terms: -2n + 2n = 0
-4 + 5n = 4 + 0
-4 + 5n = 4

Add '4' to each side of the equation.
-4 + 4 + 5n = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 5n = 4 + 4
5n = 4 + 4

Combine like terms: 4 + 4 = 8
5n = 8

Divide each side by '5'.
n = 1.6

Simplifying
n = 1.6

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