50-10n=-3(8n-6)-2n

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Solution for 50-10n=-3(8n-6)-2n equation: 


Simplifying
50 + -10n = -3(8n + -6) + -2n

Reorder the terms:
50 + -10n = -3(-6 + 8n) + -2n
50 + -10n = (-6 * -3 + 8n * -3) + -2n
50 + -10n = (18 + -24n) + -2n

Combine like terms: -24n + -2n = -26n
50 + -10n = 18 + -26n

Solving
50 + -10n = 18 + -26n

Solving for variable 'n'.

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

Add '26n' to each side of the equation.
50 + -10n + 26n = 18 + -26n + 26n

Combine like terms: -10n + 26n = 16n
50 + 16n = 18 + -26n + 26n

Combine like terms: -26n + 26n = 0
50 + 16n = 18 + 0
50 + 16n = 18

Add '-50' to each side of the equation.
50 + -50 + 16n = 18 + -50

Combine like terms: 50 + -50 = 0
0 + 16n = 18 + -50
16n = 18 + -50

Combine like terms: 18 + -50 = -32
16n = -32

Divide each side by '16'.
n = -2

Simplifying
n = -2

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