-6n+34=-4(5+8n)-n

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Solution for -6n+34=-4(5+8n)-n equation:


Simplifying
-6n + 34 = -4(5 + 8n) + -1n

Reorder the terms:
34 + -6n = -4(5 + 8n) + -1n
34 + -6n = (5 * -4 + 8n * -4) + -1n
34 + -6n = (-20 + -32n) + -1n

Combine like terms: -32n + -1n = -33n
34 + -6n = -20 + -33n

Solving
34 + -6n = -20 + -33n

Solving for variable 'n'.

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

Add '33n' to each side of the equation.
34 + -6n + 33n = -20 + -33n + 33n

Combine like terms: -6n + 33n = 27n
34 + 27n = -20 + -33n + 33n

Combine like terms: -33n + 33n = 0
34 + 27n = -20 + 0
34 + 27n = -20

Add '-34' to each side of the equation.
34 + -34 + 27n = -20 + -34

Combine like terms: 34 + -34 = 0
0 + 27n = -20 + -34
27n = -20 + -34

Combine like terms: -20 + -34 = -54
27n = -54

Divide each side by '27'.
n = -2

Simplifying
n = -2

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