6.162-0.9n=9-5.3(1.8n-3.4)

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Solution for 6.162-0.9n=9-5.3(1.8n-3.4) equation: 


Simplifying
6.162 + -0.9n = 9 + -5.3(1.8n + -3.4)

Reorder the terms:
6.162 + -0.9n = 9 + -5.3(-3.4 + 1.8n)
6.162 + -0.9n = 9 + (-3.4 * -5.3 + 1.8n * -5.3)
6.162 + -0.9n = 9 + (18.02 + -9.54n)

Combine like terms: 9 + 18.02 = 27.02
6.162 + -0.9n = 27.02 + -9.54n

Solving
6.162 + -0.9n = 27.02 + -9.54n

Solving for variable 'n'.

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

Add '9.54n' to each side of the equation.
6.162 + -0.9n + 9.54n = 27.02 + -9.54n + 9.54n

Combine like terms: -0.9n + 9.54n = 8.64n
6.162 + 8.64n = 27.02 + -9.54n + 9.54n

Combine like terms: -9.54n + 9.54n = 0.00
6.162 + 8.64n = 27.02 + 0.00
6.162 + 8.64n = 27.02

Add '-6.162' to each side of the equation.
6.162 + -6.162 + 8.64n = 27.02 + -6.162

Combine like terms: 6.162 + -6.162 = 0.000
0.000 + 8.64n = 27.02 + -6.162
8.64n = 27.02 + -6.162

Combine like terms: 27.02 + -6.162 = 20.858
8.64n = 20.858

Divide each side by '8.64'.
n = 2.41412037

Simplifying
n = 2.41412037

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