6n+2=3n+20

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Solution for 6n+2=3n+20 equation:


Simplifying
6n + 2 = 3n + 20

Reorder the terms:
2 + 6n = 3n + 20

Reorder the terms:
2 + 6n = 20 + 3n

Solving
2 + 6n = 20 + 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.
2 + 6n + -3n = 20 + 3n + -3n

Combine like terms: 6n + -3n = 3n
2 + 3n = 20 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 3n = 20 + 0
2 + 3n = 20

Add '-2' to each side of the equation.
2 + -2 + 3n = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 20 + -2
3n = 20 + -2

Combine like terms: 20 + -2 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6

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