20-(n+10)=3n+14-2n

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Solution for 20-(n+10)=3n+14-2n equation: 


Simplifying
20 + -1(n + 10) = 3n + 14 + -2n

Reorder the terms:
20 + -1(10 + n) = 3n + 14 + -2n
20 + (10 * -1 + n * -1) = 3n + 14 + -2n
20 + (-10 + -1n) = 3n + 14 + -2n

Combine like terms: 20 + -10 = 10
10 + -1n = 3n + 14 + -2n

Reorder the terms:
10 + -1n = 14 + 3n + -2n

Combine like terms: 3n + -2n = 1n
10 + -1n = 14 + 1n

Solving
10 + -1n = 14 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
10 + -1n + -1n = 14 + 1n + -1n

Combine like terms: -1n + -1n = -2n
10 + -2n = 14 + 1n + -1n

Combine like terms: 1n + -1n = 0
10 + -2n = 14 + 0
10 + -2n = 14

Add '-10' to each side of the equation.
10 + -10 + -2n = 14 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = 14 + -10
-2n = 14 + -10

Combine like terms: 14 + -10 = 4
-2n = 4

Divide each side by '-2'.
n = -2

Simplifying
n = -2

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