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

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


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

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

Reorder the terms:
-10 + 8n = -4(-10 + n) + 2(10n + 12)
-10 + 8n = (-10 * -4 + n * -4) + 2(10n + 12)
-10 + 8n = (40 + -4n) + 2(10n + 12)

Reorder the terms:
-10 + 8n = 40 + -4n + 2(12 + 10n)
-10 + 8n = 40 + -4n + (12 * 2 + 10n * 2)
-10 + 8n = 40 + -4n + (24 + 20n)

Reorder the terms:
-10 + 8n = 40 + 24 + -4n + 20n

Combine like terms: 40 + 24 = 64
-10 + 8n = 64 + -4n + 20n

Combine like terms: -4n + 20n = 16n
-10 + 8n = 64 + 16n

Solving
-10 + 8n = 64 + 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 = 64 + 16n + -16n

Combine like terms: 8n + -16n = -8n
-10 + -8n = 64 + 16n + -16n

Combine like terms: 16n + -16n = 0
-10 + -8n = 64 + 0
-10 + -8n = 64

Add '10' to each side of the equation.
-10 + 10 + -8n = 64 + 10

Combine like terms: -10 + 10 = 0
0 + -8n = 64 + 10
-8n = 64 + 10

Combine like terms: 64 + 10 = 74
-8n = 74

Divide each side by '-8'.
n = -9.25

Simplifying
n = -9.25

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