5n+12+3n=2n+30

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Solution for 5n+12+3n=2n+30 equation:


Simplifying
5n + 12 + 3n = 2n + 30

Reorder the terms:
12 + 5n + 3n = 2n + 30

Combine like terms: 5n + 3n = 8n
12 + 8n = 2n + 30

Reorder the terms:
12 + 8n = 30 + 2n

Solving
12 + 8n = 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.
12 + 8n + -2n = 30 + 2n + -2n

Combine like terms: 8n + -2n = 6n
12 + 6n = 30 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 6n = 30 + 0
12 + 6n = 30

Add '-12' to each side of the equation.
12 + -12 + 6n = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 6n = 30 + -12
6n = 30 + -12

Combine like terms: 30 + -12 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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