0.1(n+300)=0.09n+32

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Solution for 0.1(n+300)=0.09n+32 equation: 


Simplifying
0.1(n + 300) = 0.09n + 32

Reorder the terms:
0.1(300 + n) = 0.09n + 32
(300 * 0.1 + n * 0.1) = 0.09n + 32
(30 + 0.1n) = 0.09n + 32

Reorder the terms:
30 + 0.1n = 32 + 0.09n

Solving
30 + 0.1n = 32 + 0.09n

Solving for variable 'n'.

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

Add '-0.09n' to each side of the equation.
30 + 0.1n + -0.09n = 32 + 0.09n + -0.09n

Combine like terms: 0.1n + -0.09n = 0.01n
30 + 0.01n = 32 + 0.09n + -0.09n

Combine like terms: 0.09n + -0.09n = 0.00
30 + 0.01n = 32 + 0.00
30 + 0.01n = 32

Add '-30' to each side of the equation.
30 + -30 + 0.01n = 32 + -30

Combine like terms: 30 + -30 = 0
0 + 0.01n = 32 + -30
0.01n = 32 + -30

Combine like terms: 32 + -30 = 2
0.01n = 2

Divide each side by '0.01'.
n = 200

Simplifying
n = 200

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