6n+8=58-4n

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Solution for 6n+8=58-4n equation:


Simplifying
6n + 8 = 58 + -4n

Reorder the terms:
8 + 6n = 58 + -4n

Solving
8 + 6n = 58 + -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.
8 + 6n + 4n = 58 + -4n + 4n

Combine like terms: 6n + 4n = 10n
8 + 10n = 58 + -4n + 4n

Combine like terms: -4n + 4n = 0
8 + 10n = 58 + 0
8 + 10n = 58

Add '-8' to each side of the equation.
8 + -8 + 10n = 58 + -8

Combine like terms: 8 + -8 = 0
0 + 10n = 58 + -8
10n = 58 + -8

Combine like terms: 58 + -8 = 50
10n = 50

Divide each side by '10'.
n = 5

Simplifying
n = 5

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