8(n-10)=-4(n-10)+2(5n+12)

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Solution for 8(n-10)=-4(n-10)+2(5n+12) equation:


Simplifying
8(n + -10) = -4(n + -10) + 2(5n + 12)

Reorder the terms:
8(-10 + n) = -4(n + -10) + 2(5n + 12)
(-10 * 8 + n * 8) = -4(n + -10) + 2(5n + 12)
(-80 + 8n) = -4(n + -10) + 2(5n + 12)

Reorder the terms:
-80 + 8n = -4(-10 + n) + 2(5n + 12)
-80 + 8n = (-10 * -4 + n * -4) + 2(5n + 12)
-80 + 8n = (40 + -4n) + 2(5n + 12)

Reorder the terms:
-80 + 8n = 40 + -4n + 2(12 + 5n)
-80 + 8n = 40 + -4n + (12 * 2 + 5n * 2)
-80 + 8n = 40 + -4n + (24 + 10n)

Reorder the terms:
-80 + 8n = 40 + 24 + -4n + 10n

Combine like terms: 40 + 24 = 64
-80 + 8n = 64 + -4n + 10n

Combine like terms: -4n + 10n = 6n
-80 + 8n = 64 + 6n

Solving
-80 + 8n = 64 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-80 + 8n + -6n = 64 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-80 + 2n = 64 + 6n + -6n

Combine like terms: 6n + -6n = 0
-80 + 2n = 64 + 0
-80 + 2n = 64

Add '80' to each side of the equation.
-80 + 80 + 2n = 64 + 80

Combine like terms: -80 + 80 = 0
0 + 2n = 64 + 80
2n = 64 + 80

Combine like terms: 64 + 80 = 144
2n = 144

Divide each side by '2'.
n = 72

Simplifying
n = 72

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