4(2n-5)=(5n+8)+1

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Solution for 4(2n-5)=(5n+8)+1 equation: 


Simplifying
4(2n + -5) = (5n + 8) + 1

Reorder the terms:
4(-5 + 2n) = (5n + 8) + 1
(-5 * 4 + 2n * 4) = (5n + 8) + 1
(-20 + 8n) = (5n + 8) + 1

Reorder the terms:
-20 + 8n = (8 + 5n) + 1

Remove parenthesis around (8 + 5n)
-20 + 8n = 8 + 5n + 1

Reorder the terms:
-20 + 8n = 8 + 1 + 5n

Combine like terms: 8 + 1 = 9
-20 + 8n = 9 + 5n

Solving
-20 + 8n = 9 + 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.
-20 + 8n + -5n = 9 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-20 + 3n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
-20 + 3n = 9 + 0
-20 + 3n = 9

Add '20' to each side of the equation.
-20 + 20 + 3n = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 3n = 9 + 20
3n = 9 + 20

Combine like terms: 9 + 20 = 29
3n = 29

Divide each side by '3'.
n = 9.666666667

Simplifying
n = 9.666666667

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