8(2n-3)=(4n+8)+6

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Solution for 8(2n-3)=(4n+8)+6 equation:


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

Reorder the terms:
8(-3 + 2n) = (4n + 8) + 6
(-3 * 8 + 2n * 8) = (4n + 8) + 6
(-24 + 16n) = (4n + 8) + 6

Reorder the terms:
-24 + 16n = (8 + 4n) + 6

Remove parenthesis around (8 + 4n)
-24 + 16n = 8 + 4n + 6

Reorder the terms:
-24 + 16n = 8 + 6 + 4n

Combine like terms: 8 + 6 = 14
-24 + 16n = 14 + 4n

Solving
-24 + 16n = 14 + 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.
-24 + 16n + -4n = 14 + 4n + -4n

Combine like terms: 16n + -4n = 12n
-24 + 12n = 14 + 4n + -4n

Combine like terms: 4n + -4n = 0
-24 + 12n = 14 + 0
-24 + 12n = 14

Add '24' to each side of the equation.
-24 + 24 + 12n = 14 + 24

Combine like terms: -24 + 24 = 0
0 + 12n = 14 + 24
12n = 14 + 24

Combine like terms: 14 + 24 = 38
12n = 38

Divide each side by '12'.
n = 3.166666667

Simplifying
n = 3.166666667

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