8n-(10-4n)=-2(1-2n)

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Solution for 8n-(10-4n)=-2(1-2n) equation: 


Simplifying
8n + -1(10 + -4n) = -2(1 + -2n)
8n + (10 * -1 + -4n * -1) = -2(1 + -2n)
8n + (-10 + 4n) = -2(1 + -2n)

Reorder the terms:
-10 + 8n + 4n = -2(1 + -2n)

Combine like terms: 8n + 4n = 12n
-10 + 12n = -2(1 + -2n)
-10 + 12n = (1 * -2 + -2n * -2)
-10 + 12n = (-2 + 4n)

Solving
-10 + 12n = -2 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-10 + 12n + -4n = -2 + 4n + -4n

Combine like terms: 12n + -4n = 8n
-10 + 8n = -2 + 4n + -4n

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

Add '10' to each side of the equation.
-10 + 10 + 8n = -2 + 10

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

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

Divide each side by '8'.
n = 1

Simplifying
n = 1

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