13.6-0.4n+1.8+1.5n=18-1.9-5.7

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Solution for 13.6-0.4n+1.8+1.5n=18-1.9-5.7 equation: 


Simplifying
13.6 + -0.4n + 1.8 + 1.5n = 18 + -1.9 + -5.7

Reorder the terms:
13.6 + 1.8 + -0.4n + 1.5n = 18 + -1.9 + -5.7

Combine like terms: 13.6 + 1.8 = 15.4
15.4 + -0.4n + 1.5n = 18 + -1.9 + -5.7

Combine like terms: -0.4n + 1.5n = 1.1n
15.4 + 1.1n = 18 + -1.9 + -5.7

Combine like terms: 18 + -1.9 = 16.1
15.4 + 1.1n = 16.1 + -5.7

Combine like terms: 16.1 + -5.7 = 10.4
15.4 + 1.1n = 10.4

Solving
15.4 + 1.1n = 10.4

Solving for variable 'n'.

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

Add '-15.4' to each side of the equation.
15.4 + -15.4 + 1.1n = 10.4 + -15.4

Combine like terms: 15.4 + -15.4 = 0.0
0.0 + 1.1n = 10.4 + -15.4
1.1n = 10.4 + -15.4

Combine like terms: 10.4 + -15.4 = -5
1.1n = -5

Divide each side by '1.1'.
n = -4.545454545

Simplifying
n = -4.545454545

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