33-n=-4n-2(7n-8)

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Solution for 33-n=-4n-2(7n-8) equation: 


Simplifying
33 + -1n = -4n + -2(7n + -8)

Reorder the terms:
33 + -1n = -4n + -2(-8 + 7n)
33 + -1n = -4n + (-8 * -2 + 7n * -2)
33 + -1n = -4n + (16 + -14n)

Reorder the terms:
33 + -1n = 16 + -4n + -14n

Combine like terms: -4n + -14n = -18n
33 + -1n = 16 + -18n

Solving
33 + -1n = 16 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
33 + -1n + 18n = 16 + -18n + 18n

Combine like terms: -1n + 18n = 17n
33 + 17n = 16 + -18n + 18n

Combine like terms: -18n + 18n = 0
33 + 17n = 16 + 0
33 + 17n = 16

Add '-33' to each side of the equation.
33 + -33 + 17n = 16 + -33

Combine like terms: 33 + -33 = 0
0 + 17n = 16 + -33
17n = 16 + -33

Combine like terms: 16 + -33 = -17
17n = -17

Divide each side by '17'.
n = -1

Simplifying
n = -1

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