6-7.3(n+0.2)=4.59-7.4n

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Solution for 6-7.3(n+0.2)=4.59-7.4n equation: 


Simplifying
6 + -7.3(n + 0.2) = 4.59 + -7.4n

Reorder the terms:
6 + -7.3(0.2 + n) = 4.59 + -7.4n
6 + (0.2 * -7.3 + n * -7.3) = 4.59 + -7.4n
6 + (-1.46 + -7.3n) = 4.59 + -7.4n

Combine like terms: 6 + -1.46 = 4.54
4.54 + -7.3n = 4.59 + -7.4n

Solving
4.54 + -7.3n = 4.59 + -7.4n

Solving for variable 'n'.

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

Add '7.4n' to each side of the equation.
4.54 + -7.3n + 7.4n = 4.59 + -7.4n + 7.4n

Combine like terms: -7.3n + 7.4n = 0.1n
4.54 + 0.1n = 4.59 + -7.4n + 7.4n

Combine like terms: -7.4n + 7.4n = 0.0
4.54 + 0.1n = 4.59 + 0.0
4.54 + 0.1n = 4.59

Add '-4.54' to each side of the equation.
4.54 + -4.54 + 0.1n = 4.59 + -4.54

Combine like terms: 4.54 + -4.54 = 0.00
0.00 + 0.1n = 4.59 + -4.54
0.1n = 4.59 + -4.54

Combine like terms: 4.59 + -4.54 = 0.05
0.1n = 0.05

Divide each side by '0.1'.
n = 0.5

Simplifying
n = 0.5

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