-8(4n-1)+10n=-5n+3n-2

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Solution for -8(4n-1)+10n=-5n+3n-2 equation: 


Simplifying
-8(4n + -1) + 10n = -5n + 3n + -2

Reorder the terms:
-8(-1 + 4n) + 10n = -5n + 3n + -2
(-1 * -8 + 4n * -8) + 10n = -5n + 3n + -2
(8 + -32n) + 10n = -5n + 3n + -2

Combine like terms: -32n + 10n = -22n
8 + -22n = -5n + 3n + -2

Reorder the terms:
8 + -22n = -2 + -5n + 3n

Combine like terms: -5n + 3n = -2n
8 + -22n = -2 + -2n

Solving
8 + -22n = -2 + -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.
8 + -22n + 2n = -2 + -2n + 2n

Combine like terms: -22n + 2n = -20n
8 + -20n = -2 + -2n + 2n

Combine like terms: -2n + 2n = 0
8 + -20n = -2 + 0
8 + -20n = -2

Add '-8' to each side of the equation.
8 + -8 + -20n = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -20n = -2 + -8
-20n = -2 + -8

Combine like terms: -2 + -8 = -10
-20n = -10

Divide each side by '-20'.
n = 0.5

Simplifying
n = 0.5

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