5-2(5n-1)=-5(8n+7)+1

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Solution for 5-2(5n-1)=-5(8n+7)+1 equation: 


Simplifying
5 + -2(5n + -1) = -5(8n + 7) + 1

Reorder the terms:
5 + -2(-1 + 5n) = -5(8n + 7) + 1
5 + (-1 * -2 + 5n * -2) = -5(8n + 7) + 1
5 + (2 + -10n) = -5(8n + 7) + 1

Combine like terms: 5 + 2 = 7
7 + -10n = -5(8n + 7) + 1

Reorder the terms:
7 + -10n = -5(7 + 8n) + 1
7 + -10n = (7 * -5 + 8n * -5) + 1
7 + -10n = (-35 + -40n) + 1

Reorder the terms:
7 + -10n = -35 + 1 + -40n

Combine like terms: -35 + 1 = -34
7 + -10n = -34 + -40n

Solving
7 + -10n = -34 + -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.
7 + -10n + 40n = -34 + -40n + 40n

Combine like terms: -10n + 40n = 30n
7 + 30n = -34 + -40n + 40n

Combine like terms: -40n + 40n = 0
7 + 30n = -34 + 0
7 + 30n = -34

Add '-7' to each side of the equation.
7 + -7 + 30n = -34 + -7

Combine like terms: 7 + -7 = 0
0 + 30n = -34 + -7
30n = -34 + -7

Combine like terms: -34 + -7 = -41
30n = -41

Divide each side by '30'.
n = -1.366666667

Simplifying
n = -1.366666667

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