33-3n=-6(n-8)

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Solution for 33-3n=-6(n-8) equation: 


Simplifying
33 + -3n = -6(n + -8)

Reorder the terms:
33 + -3n = -6(-8 + n)
33 + -3n = (-8 * -6 + n * -6)
33 + -3n = (48 + -6n)

Solving
33 + -3n = 48 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
33 + -3n + 6n = 48 + -6n + 6n

Combine like terms: -3n + 6n = 3n
33 + 3n = 48 + -6n + 6n

Combine like terms: -6n + 6n = 0
33 + 3n = 48 + 0
33 + 3n = 48

Add '-33' to each side of the equation.
33 + -33 + 3n = 48 + -33

Combine like terms: 33 + -33 = 0
0 + 3n = 48 + -33
3n = 48 + -33

Combine like terms: 48 + -33 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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