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

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


Simplifying
8n + 2 = -8(n + -6) + 2

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

Reorder the terms:
2 + 8n = -8(-6 + n) + 2
2 + 8n = (-6 * -8 + n * -8) + 2
2 + 8n = (48 + -8n) + 2

Reorder the terms:
2 + 8n = 48 + 2 + -8n

Combine like terms: 48 + 2 = 50
2 + 8n = 50 + -8n

Solving
2 + 8n = 50 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
2 + 8n + 8n = 50 + -8n + 8n

Combine like terms: 8n + 8n = 16n
2 + 16n = 50 + -8n + 8n

Combine like terms: -8n + 8n = 0
2 + 16n = 50 + 0
2 + 16n = 50

Add '-2' to each side of the equation.
2 + -2 + 16n = 50 + -2

Combine like terms: 2 + -2 = 0
0 + 16n = 50 + -2
16n = 50 + -2

Combine like terms: 50 + -2 = 48
16n = 48

Divide each side by '16'.
n = 3

Simplifying
n = 3

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