-2(8n+5)+6=-4(n-2)

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Solution for -2(8n+5)+6=-4(n-2) equation:


Simplifying
-2(8n + 5) + 6 = -4(n + -2)

Reorder the terms:
-2(5 + 8n) + 6 = -4(n + -2)
(5 * -2 + 8n * -2) + 6 = -4(n + -2)
(-10 + -16n) + 6 = -4(n + -2)

Reorder the terms:
-10 + 6 + -16n = -4(n + -2)

Combine like terms: -10 + 6 = -4
-4 + -16n = -4(n + -2)

Reorder the terms:
-4 + -16n = -4(-2 + n)
-4 + -16n = (-2 * -4 + n * -4)
-4 + -16n = (8 + -4n)

Solving
-4 + -16n = 8 + -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.
-4 + -16n + 4n = 8 + -4n + 4n

Combine like terms: -16n + 4n = -12n
-4 + -12n = 8 + -4n + 4n

Combine like terms: -4n + 4n = 0
-4 + -12n = 8 + 0
-4 + -12n = 8

Add '4' to each side of the equation.
-4 + 4 + -12n = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -12n = 8 + 4
-12n = 8 + 4

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

Divide each side by '-12'.
n = -1

Simplifying
n = -1

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