8n-10=-4n+2(10n+12)

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Solution for 8n-10=-4n+2(10n+12) equation:


Simplifying
8n + -10 = -4n + 2(10n + 12)

Reorder the terms:
-10 + 8n = -4n + 2(10n + 12)

Reorder the terms:
-10 + 8n = -4n + 2(12 + 10n)
-10 + 8n = -4n + (12 * 2 + 10n * 2)
-10 + 8n = -4n + (24 + 20n)

Reorder the terms:
-10 + 8n = 24 + -4n + 20n

Combine like terms: -4n + 20n = 16n
-10 + 8n = 24 + 16n

Solving
-10 + 8n = 24 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
-10 + 8n + -16n = 24 + 16n + -16n

Combine like terms: 8n + -16n = -8n
-10 + -8n = 24 + 16n + -16n

Combine like terms: 16n + -16n = 0
-10 + -8n = 24 + 0
-10 + -8n = 24

Add '10' to each side of the equation.
-10 + 10 + -8n = 24 + 10

Combine like terms: -10 + 10 = 0
0 + -8n = 24 + 10
-8n = 24 + 10

Combine like terms: 24 + 10 = 34
-8n = 34

Divide each side by '-8'.
n = -4.25

Simplifying
n = -4.25

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