33n+30=38n-30

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Solution for 33n+30=38n-30 equation: 


Simplifying
33n + 30 = 38n + -30

Reorder the terms:
30 + 33n = 38n + -30

Reorder the terms:
30 + 33n = -30 + 38n

Solving
30 + 33n = -30 + 38n

Solving for variable 'n'.

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

Add '-38n' to each side of the equation.
30 + 33n + -38n = -30 + 38n + -38n

Combine like terms: 33n + -38n = -5n
30 + -5n = -30 + 38n + -38n

Combine like terms: 38n + -38n = 0
30 + -5n = -30 + 0
30 + -5n = -30

Add '-30' to each side of the equation.
30 + -30 + -5n = -30 + -30

Combine like terms: 30 + -30 = 0
0 + -5n = -30 + -30
-5n = -30 + -30

Combine like terms: -30 + -30 = -60
-5n = -60

Divide each side by '-5'.
n = 12

Simplifying
n = 12

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