2(3-2n)=-(n+5)

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Solution for 2(3-2n)=-(n+5) equation:


Simplifying
2(3 + -2n) = -1(n + 5)
(3 * 2 + -2n * 2) = -1(n + 5)
(6 + -4n) = -1(n + 5)

Reorder the terms:
6 + -4n = -1(5 + n)
6 + -4n = (5 * -1 + n * -1)
6 + -4n = (-5 + -1n)

Solving
6 + -4n = -5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + -4n + n = -5 + -1n + n

Combine like terms: -4n + n = -3n
6 + -3n = -5 + -1n + n

Combine like terms: -1n + n = 0
6 + -3n = -5 + 0
6 + -3n = -5

Add '-6' to each side of the equation.
6 + -6 + -3n = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -5 + -6
-3n = -5 + -6

Combine like terms: -5 + -6 = -11
-3n = -11

Divide each side by '-3'.
n = 3.666666667

Simplifying
n = 3.666666667

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