0.05n+0.10(200-n)=0.45n

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Solution for 0.05n+0.10(200-n)=0.45n equation: 


Simplifying
0.05n + 0.10(200 + -1n) = 0.45n
0.05n + (200 * 0.10 + -1n * 0.10) = 0.45n
0.05n + (20 + -0.1n) = 0.45n

Reorder the terms:
20 + 0.05n + -0.1n = 0.45n

Combine like terms: 0.05n + -0.1n = -0.05n
20 + -0.05n = 0.45n

Solving
20 + -0.05n = 0.45n

Solving for variable 'n'.

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

Add '-0.45n' to each side of the equation.
20 + -0.05n + -0.45n = 0.45n + -0.45n

Combine like terms: -0.05n + -0.45n = -0.5n
20 + -0.5n = 0.45n + -0.45n

Combine like terms: 0.45n + -0.45n = 0.00
20 + -0.5n = 0.00

Add '-20' to each side of the equation.
20 + -20 + -0.5n = 0.00 + -20

Combine like terms: 20 + -20 = 0
0 + -0.5n = 0.00 + -20
-0.5n = 0.00 + -20

Combine like terms: 0.00 + -20 = -20
-0.5n = -20

Divide each side by '-0.5'.
n = 40

Simplifying
n = 40

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