33-5n=-2(6n-6)

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Solution for 33-5n=-2(6n-6) equation:


Simplifying
33 + -5n = -2(6n + -6)

Reorder the terms:
33 + -5n = -2(-6 + 6n)
33 + -5n = (-6 * -2 + 6n * -2)
33 + -5n = (12 + -12n)

Solving
33 + -5n = 12 + -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.
33 + -5n + 12n = 12 + -12n + 12n

Combine like terms: -5n + 12n = 7n
33 + 7n = 12 + -12n + 12n

Combine like terms: -12n + 12n = 0
33 + 7n = 12 + 0
33 + 7n = 12

Add '-33' to each side of the equation.
33 + -33 + 7n = 12 + -33

Combine like terms: 33 + -33 = 0
0 + 7n = 12 + -33
7n = 12 + -33

Combine like terms: 12 + -33 = -21
7n = -21

Divide each side by '7'.
n = -3

Simplifying
n = -3

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