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

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


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

Reorder the terms:
8(-5 + 2n) = (5n + 8) + 3
(-5 * 8 + 2n * 8) = (5n + 8) + 3
(-40 + 16n) = (5n + 8) + 3

Reorder the terms:
-40 + 16n = (8 + 5n) + 3

Remove parenthesis around (8 + 5n)
-40 + 16n = 8 + 5n + 3

Reorder the terms:
-40 + 16n = 8 + 3 + 5n

Combine like terms: 8 + 3 = 11
-40 + 16n = 11 + 5n

Solving
-40 + 16n = 11 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-40 + 16n + -5n = 11 + 5n + -5n

Combine like terms: 16n + -5n = 11n
-40 + 11n = 11 + 5n + -5n

Combine like terms: 5n + -5n = 0
-40 + 11n = 11 + 0
-40 + 11n = 11

Add '40' to each side of the equation.
-40 + 40 + 11n = 11 + 40

Combine like terms: -40 + 40 = 0
0 + 11n = 11 + 40
11n = 11 + 40

Combine like terms: 11 + 40 = 51
11n = 51

Divide each side by '11'.
n = 4.636363636

Simplifying
n = 4.636363636

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