2(1-8n)+10(4n-6)=-11n+6n

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Solution for 2(1-8n)+10(4n-6)=-11n+6n equation:


Simplifying
2(1 + -8n) + 10(4n + -6) = -11n + 6n
(1 * 2 + -8n * 2) + 10(4n + -6) = -11n + 6n
(2 + -16n) + 10(4n + -6) = -11n + 6n

Reorder the terms:
2 + -16n + 10(-6 + 4n) = -11n + 6n
2 + -16n + (-6 * 10 + 4n * 10) = -11n + 6n
2 + -16n + (-60 + 40n) = -11n + 6n

Reorder the terms:
2 + -60 + -16n + 40n = -11n + 6n

Combine like terms: 2 + -60 = -58
-58 + -16n + 40n = -11n + 6n

Combine like terms: -16n + 40n = 24n
-58 + 24n = -11n + 6n

Combine like terms: -11n + 6n = -5n
-58 + 24n = -5n

Solving
-58 + 24n = -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-58 + 24n + 5n = -5n + 5n

Combine like terms: 24n + 5n = 29n
-58 + 29n = -5n + 5n

Combine like terms: -5n + 5n = 0
-58 + 29n = 0

Add '58' to each side of the equation.
-58 + 58 + 29n = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 29n = 0 + 58
29n = 0 + 58

Combine like terms: 0 + 58 = 58
29n = 58

Divide each side by '29'.
n = 2

Simplifying
n = 2

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