5-9n=-2(6n-4)

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Solution for 5-9n=-2(6n-4) equation:


Simplifying
5 + -9n = -2(6n + -4)

Reorder the terms:
5 + -9n = -2(-4 + 6n)
5 + -9n = (-4 * -2 + 6n * -2)
5 + -9n = (8 + -12n)

Solving
5 + -9n = 8 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
5 + -9n + 12n = 8 + -12n + 12n

Combine like terms: -9n + 12n = 3n
5 + 3n = 8 + -12n + 12n

Combine like terms: -12n + 12n = 0
5 + 3n = 8 + 0
5 + 3n = 8

Add '-5' to each side of the equation.
5 + -5 + 3n = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 3n = 8 + -5
3n = 8 + -5

Combine like terms: 8 + -5 = 3
3n = 3

Divide each side by '3'.
n = 1

Simplifying
n = 1

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