1-5(n-8)=5(8n+4)+9

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Solution for 1-5(n-8)=5(8n+4)+9 equation: 


Simplifying
1 + -5(n + -8) = 5(8n + 4) + 9

Reorder the terms:
1 + -5(-8 + n) = 5(8n + 4) + 9
1 + (-8 * -5 + n * -5) = 5(8n + 4) + 9
1 + (40 + -5n) = 5(8n + 4) + 9

Combine like terms: 1 + 40 = 41
41 + -5n = 5(8n + 4) + 9

Reorder the terms:
41 + -5n = 5(4 + 8n) + 9
41 + -5n = (4 * 5 + 8n * 5) + 9
41 + -5n = (20 + 40n) + 9

Reorder the terms:
41 + -5n = 20 + 9 + 40n

Combine like terms: 20 + 9 = 29
41 + -5n = 29 + 40n

Solving
41 + -5n = 29 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
41 + -5n + -40n = 29 + 40n + -40n

Combine like terms: -5n + -40n = -45n
41 + -45n = 29 + 40n + -40n

Combine like terms: 40n + -40n = 0
41 + -45n = 29 + 0
41 + -45n = 29

Add '-41' to each side of the equation.
41 + -41 + -45n = 29 + -41

Combine like terms: 41 + -41 = 0
0 + -45n = 29 + -41
-45n = 29 + -41

Combine like terms: 29 + -41 = -12
-45n = -12

Divide each side by '-45'.
n = 0.2666666667

Simplifying
n = 0.2666666667

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