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

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


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

Reorder the terms:
34 + -1n = 5n + -1(6 + n)
34 + -1n = 5n + (6 * -1 + n * -1)
34 + -1n = 5n + (-6 + -1n)

Reorder the terms:
34 + -1n = -6 + 5n + -1n

Combine like terms: 5n + -1n = 4n
34 + -1n = -6 + 4n

Solving
34 + -1n = -6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
34 + -1n + -4n = -6 + 4n + -4n

Combine like terms: -1n + -4n = -5n
34 + -5n = -6 + 4n + -4n

Combine like terms: 4n + -4n = 0
34 + -5n = -6 + 0
34 + -5n = -6

Add '-34' to each side of the equation.
34 + -34 + -5n = -6 + -34

Combine like terms: 34 + -34 = 0
0 + -5n = -6 + -34
-5n = -6 + -34

Combine like terms: -6 + -34 = -40
-5n = -40

Divide each side by '-5'.
n = 8

Simplifying
n = 8

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