8(2n-3)=(2n+1)+5

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Solution for 8(2n-3)=(2n+1)+5 equation:


Simplifying
8(2n + -3) = (2n + 1) + 5

Reorder the terms:
8(-3 + 2n) = (2n + 1) + 5
(-3 * 8 + 2n * 8) = (2n + 1) + 5
(-24 + 16n) = (2n + 1) + 5

Reorder the terms:
-24 + 16n = (1 + 2n) + 5

Remove parenthesis around (1 + 2n)
-24 + 16n = 1 + 2n + 5

Reorder the terms:
-24 + 16n = 1 + 5 + 2n

Combine like terms: 1 + 5 = 6
-24 + 16n = 6 + 2n

Solving
-24 + 16n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-24 + 16n + -2n = 6 + 2n + -2n

Combine like terms: 16n + -2n = 14n
-24 + 14n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-24 + 14n = 6 + 0
-24 + 14n = 6

Add '24' to each side of the equation.
-24 + 24 + 14n = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 14n = 6 + 24
14n = 6 + 24

Combine like terms: 6 + 24 = 30
14n = 30

Divide each side by '14'.
n = 2.142857143

Simplifying
n = 2.142857143

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