6(2n-4)=(8n-2)-1

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Solution for 6(2n-4)=(8n-2)-1 equation:


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

Reorder the terms:
6(-4 + 2n) = (8n + -2) + -1
(-4 * 6 + 2n * 6) = (8n + -2) + -1
(-24 + 12n) = (8n + -2) + -1

Reorder the terms:
-24 + 12n = (-2 + 8n) + -1

Remove parenthesis around (-2 + 8n)
-24 + 12n = -2 + 8n + -1

Reorder the terms:
-24 + 12n = -2 + -1 + 8n

Combine like terms: -2 + -1 = -3
-24 + 12n = -3 + 8n

Solving
-24 + 12n = -3 + 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.
-24 + 12n + -8n = -3 + 8n + -8n

Combine like terms: 12n + -8n = 4n
-24 + 4n = -3 + 8n + -8n

Combine like terms: 8n + -8n = 0
-24 + 4n = -3 + 0
-24 + 4n = -3

Add '24' to each side of the equation.
-24 + 24 + 4n = -3 + 24

Combine like terms: -24 + 24 = 0
0 + 4n = -3 + 24
4n = -3 + 24

Combine like terms: -3 + 24 = 21
4n = 21

Divide each side by '4'.
n = 5.25

Simplifying
n = 5.25

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