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

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Solution for -2(1+4n)-2=-6(n-3) equation:


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

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

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

Reorder the terms:
-4 + -8n = -6(-3 + n)
-4 + -8n = (-3 * -6 + n * -6)
-4 + -8n = (18 + -6n)

Solving
-4 + -8n = 18 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-4 + -8n + 6n = 18 + -6n + 6n

Combine like terms: -8n + 6n = -2n
-4 + -2n = 18 + -6n + 6n

Combine like terms: -6n + 6n = 0
-4 + -2n = 18 + 0
-4 + -2n = 18

Add '4' to each side of the equation.
-4 + 4 + -2n = 18 + 4

Combine like terms: -4 + 4 = 0
0 + -2n = 18 + 4
-2n = 18 + 4

Combine like terms: 18 + 4 = 22
-2n = 22

Divide each side by '-2'.
n = -11

Simplifying
n = -11

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