2n-(n-20)=5n+8

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Solution for 2n-(n-20)=5n+8 equation:


Simplifying
2n + -1(n + -20) = 5n + 8

Reorder the terms:
2n + -1(-20 + n) = 5n + 8
2n + (-20 * -1 + n * -1) = 5n + 8
2n + (20 + -1n) = 5n + 8

Reorder the terms:
20 + 2n + -1n = 5n + 8

Combine like terms: 2n + -1n = 1n
20 + 1n = 5n + 8

Reorder the terms:
20 + 1n = 8 + 5n

Solving
20 + 1n = 8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
20 + 1n + -5n = 8 + 5n + -5n

Combine like terms: 1n + -5n = -4n
20 + -4n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
20 + -4n = 8 + 0
20 + -4n = 8

Add '-20' to each side of the equation.
20 + -20 + -4n = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -4n = 8 + -20
-4n = 8 + -20

Combine like terms: 8 + -20 = -12
-4n = -12

Divide each side by '-4'.
n = 3

Simplifying
n = 3

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