n=(0.5n-10)0.5-20

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Solution for n=(0.5n-10)0.5-20 equation:


Simplifying
n = (0.5n + -10) * 0.5 + -20

Reorder the terms:
n = (-10 + 0.5n) * 0.5 + -20

Reorder the terms for easier multiplication:
n = 0.5(-10 + 0.5n) + -20
n = (-10 * 0.5 + 0.5n * 0.5) + -20
n = (-5 + 0.25n) + -20

Reorder the terms:
n = -5 + -20 + 0.25n

Combine like terms: -5 + -20 = -25
n = -25 + 0.25n

Solving
n = -25 + 0.25n

Solving for variable 'n'.

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

Add '-0.25n' to each side of the equation.
n + -0.25n = -25 + 0.25n + -0.25n

Combine like terms: n + -0.25n = 0.75n
0.75n = -25 + 0.25n + -0.25n

Combine like terms: 0.25n + -0.25n = 0.00
0.75n = -25 + 0.00
0.75n = -25

Divide each side by '0.75'.
n = -33.33333333

Simplifying
n = -33.33333333

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