6(-2n-8)=3n-33

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Solution for 6(-2n-8)=3n-33 equation: 


Simplifying
6(-2n + -8) = 3n + -33

Reorder the terms:
6(-8 + -2n) = 3n + -33
(-8 * 6 + -2n * 6) = 3n + -33
(-48 + -12n) = 3n + -33

Reorder the terms:
-48 + -12n = -33 + 3n

Solving
-48 + -12n = -33 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-48 + -12n + -3n = -33 + 3n + -3n

Combine like terms: -12n + -3n = -15n
-48 + -15n = -33 + 3n + -3n

Combine like terms: 3n + -3n = 0
-48 + -15n = -33 + 0
-48 + -15n = -33

Add '48' to each side of the equation.
-48 + 48 + -15n = -33 + 48

Combine like terms: -48 + 48 = 0
0 + -15n = -33 + 48
-15n = -33 + 48

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

Divide each side by '-15'.
n = -1

Simplifying
n = -1

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