59n-30+n=6n-18(-820)

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Solution for 59n-30+n=6n-18(-820) equation:


Simplifying
59n + -30 + n = 6n + -18(-820)

Reorder the terms:
-30 + 59n + n = 6n + -18(-820)

Combine like terms: 59n + n = 60n
-30 + 60n = 6n + -18(-820)

Multiply -18 * -820
-30 + 60n = 6n + 14760

Reorder the terms:
-30 + 60n = 14760 + 6n

Solving
-30 + 60n = 14760 + 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.
-30 + 60n + -6n = 14760 + 6n + -6n

Combine like terms: 60n + -6n = 54n
-30 + 54n = 14760 + 6n + -6n

Combine like terms: 6n + -6n = 0
-30 + 54n = 14760 + 0
-30 + 54n = 14760

Add '30' to each side of the equation.
-30 + 30 + 54n = 14760 + 30

Combine like terms: -30 + 30 = 0
0 + 54n = 14760 + 30
54n = 14760 + 30

Combine like terms: 14760 + 30 = 14790
54n = 14790

Divide each side by '54'.
n = 273.8888889

Simplifying
n = 273.8888889

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