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

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


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

Reorder the terms:
2(-3 + n) + 4 = 10(n + -8) + -2n
(-3 * 2 + n * 2) + 4 = 10(n + -8) + -2n
(-6 + 2n) + 4 = 10(n + -8) + -2n

Reorder the terms:
-6 + 4 + 2n = 10(n + -8) + -2n

Combine like terms: -6 + 4 = -2
-2 + 2n = 10(n + -8) + -2n

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

Combine like terms: 10n + -2n = 8n
-2 + 2n = -80 + 8n

Solving
-2 + 2n = -80 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-2 + 2n + -8n = -80 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
-2 + -6n = -80 + 0
-2 + -6n = -80

Add '2' to each side of the equation.
-2 + 2 + -6n = -80 + 2

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

Combine like terms: -80 + 2 = -78
-6n = -78

Divide each side by '-6'.
n = 13

Simplifying
n = 13

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