-5(8n-6)+1=31-2n

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Solution for -5(8n-6)+1=31-2n equation:


Simplifying
-5(8n + -6) + 1 = 31 + -2n

Reorder the terms:
-5(-6 + 8n) + 1 = 31 + -2n
(-6 * -5 + 8n * -5) + 1 = 31 + -2n
(30 + -40n) + 1 = 31 + -2n

Reorder the terms:
30 + 1 + -40n = 31 + -2n

Combine like terms: 30 + 1 = 31
31 + -40n = 31 + -2n

Add '-31' to each side of the equation.
31 + -31 + -40n = 31 + -31 + -2n

Combine like terms: 31 + -31 = 0
0 + -40n = 31 + -31 + -2n
-40n = 31 + -31 + -2n

Combine like terms: 31 + -31 = 0
-40n = 0 + -2n
-40n = -2n

Solving
-40n = -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.
-40n + 2n = -2n + 2n

Combine like terms: -40n + 2n = -38n
-38n = -2n + 2n

Combine like terms: -2n + 2n = 0
-38n = 0

Divide each side by '-38'.
n = 0

Simplifying
n = 0

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