(8n+4)-(2n-6)=0

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Solution for (8n+4)-(2n-6)=0 equation:


Simplifying
(8n + 4) + -1(2n + -6) = 0

Reorder the terms:
(4 + 8n) + -1(2n + -6) = 0

Remove parenthesis around (4 + 8n)
4 + 8n + -1(2n + -6) = 0

Reorder the terms:
4 + 8n + -1(-6 + 2n) = 0
4 + 8n + (-6 * -1 + 2n * -1) = 0
4 + 8n + (6 + -2n) = 0

Reorder the terms:
4 + 6 + 8n + -2n = 0

Combine like terms: 4 + 6 = 10
10 + 8n + -2n = 0

Combine like terms: 8n + -2n = 6n
10 + 6n = 0

Solving
10 + 6n = 0

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 6n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6n = 0 + -10
6n = 0 + -10

Combine like terms: 0 + -10 = -10
6n = -10

Divide each side by '6'.
n = -1.666666667

Simplifying
n = -1.666666667

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