n*5+3=n*2+30

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Solution for n*5+3=n*2+30 equation:


Simplifying
n * 5 + 3 = n * 2 + 30

Reorder the terms for easier multiplication:
5n + 3 = n * 2 + 30

Reorder the terms:
3 + 5n = n * 2 + 30

Reorder the terms for easier multiplication:
3 + 5n = 2n + 30

Reorder the terms:
3 + 5n = 30 + 2n

Solving
3 + 5n = 30 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3 + 5n + -2n = 30 + 2n + -2n

Combine like terms: 5n + -2n = 3n
3 + 3n = 30 + 2n + -2n

Combine like terms: 2n + -2n = 0
3 + 3n = 30 + 0
3 + 3n = 30

Add '-3' to each side of the equation.
3 + -3 + 3n = 30 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = 30 + -3
3n = 30 + -3

Combine like terms: 30 + -3 = 27
3n = 27

Divide each side by '3'.
n = 9

Simplifying
n = 9

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