20+3n=-2(n-8)+6n

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Solution for 20+3n=-2(n-8)+6n equation:


Simplifying
20 + 3n = -2(n + -8) + 6n

Reorder the terms:
20 + 3n = -2(-8 + n) + 6n
20 + 3n = (-8 * -2 + n * -2) + 6n
20 + 3n = (16 + -2n) + 6n

Combine like terms: -2n + 6n = 4n
20 + 3n = 16 + 4n

Solving
20 + 3n = 16 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
20 + 3n + -4n = 16 + 4n + -4n

Combine like terms: 3n + -4n = -1n
20 + -1n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
20 + -1n = 16 + 0
20 + -1n = 16

Add '-20' to each side of the equation.
20 + -20 + -1n = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = 16 + -20
-1n = 16 + -20

Combine like terms: 16 + -20 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4

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