5n=3(n-2)+58

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Solution for 5n=3(n-2)+58 equation:


Simplifying
5n = 3(n + -2) + 58

Reorder the terms:
5n = 3(-2 + n) + 58
5n = (-2 * 3 + n * 3) + 58
5n = (-6 + 3n) + 58

Reorder the terms:
5n = -6 + 58 + 3n

Combine like terms: -6 + 58 = 52
5n = 52 + 3n

Solving
5n = 52 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
5n + -3n = 52 + 3n + -3n

Combine like terms: 5n + -3n = 2n
2n = 52 + 3n + -3n

Combine like terms: 3n + -3n = 0
2n = 52 + 0
2n = 52

Divide each side by '2'.
n = 26

Simplifying
n = 26

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