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

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


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

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

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

Combine like terms: -48n + 3n = -45n
-12 + -45n = 33 + -3n + 3n

Combine like terms: -3n + 3n = 0
-12 + -45n = 33 + 0
-12 + -45n = 33

Add '12' to each side of the equation.
-12 + 12 + -45n = 33 + 12

Combine like terms: -12 + 12 = 0
0 + -45n = 33 + 12
-45n = 33 + 12

Combine like terms: 33 + 12 = 45
-45n = 45

Divide each side by '-45'.
n = -1

Simplifying
n = -1

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