10.9-0.9n+1.9n-1.4n=12-2.3n-3.9

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Solution for 10.9-0.9n+1.9n-1.4n=12-2.3n-3.9 equation:


Simplifying
10.9 + -0.9n + 1.9n + -1.4n = 12 + -2.3n + -3.9

Combine like terms: -0.9n + 1.9n = 1n
10.9 + 1n + -1.4n = 12 + -2.3n + -3.9

Combine like terms: 1n + -1.4n = -0.4n
10.9 + -0.4n = 12 + -2.3n + -3.9

Reorder the terms:
10.9 + -0.4n = 12 + -3.9 + -2.3n

Combine like terms: 12 + -3.9 = 8.1
10.9 + -0.4n = 8.1 + -2.3n

Solving
10.9 + -0.4n = 8.1 + -2.3n

Solving for variable 'n'.

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

Add '2.3n' to each side of the equation.
10.9 + -0.4n + 2.3n = 8.1 + -2.3n + 2.3n

Combine like terms: -0.4n + 2.3n = 1.9n
10.9 + 1.9n = 8.1 + -2.3n + 2.3n

Combine like terms: -2.3n + 2.3n = 0.0
10.9 + 1.9n = 8.1 + 0.0
10.9 + 1.9n = 8.1

Add '-10.9' to each side of the equation.
10.9 + -10.9 + 1.9n = 8.1 + -10.9

Combine like terms: 10.9 + -10.9 = 0.0
0.0 + 1.9n = 8.1 + -10.9
1.9n = 8.1 + -10.9

Combine like terms: 8.1 + -10.9 = -2.8
1.9n = -2.8

Divide each side by '1.9'.
n = -1.473684211

Simplifying
n = -1.473684211

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