0.1(2.2n+5.1)+0.2=-0.586-0.86n

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Solution for 0.1(2.2n+5.1)+0.2=-0.586-0.86n equation: 


Simplifying
0.1(2.2n + 5.1) + 0.2 = -0.586 + -0.86n

Reorder the terms:
0.1(5.1 + 2.2n) + 0.2 = -0.586 + -0.86n
(5.1 * 0.1 + 2.2n * 0.1) + 0.2 = -0.586 + -0.86n
(0.51 + 0.22n) + 0.2 = -0.586 + -0.86n

Reorder the terms:
0.51 + 0.2 + 0.22n = -0.586 + -0.86n

Combine like terms: 0.51 + 0.2 = 0.71
0.71 + 0.22n = -0.586 + -0.86n

Solving
0.71 + 0.22n = -0.586 + -0.86n

Solving for variable 'n'.

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

Add '0.86n' to each side of the equation.
0.71 + 0.22n + 0.86n = -0.586 + -0.86n + 0.86n

Combine like terms: 0.22n + 0.86n = 1.08n
0.71 + 1.08n = -0.586 + -0.86n + 0.86n

Combine like terms: -0.86n + 0.86n = 0.00
0.71 + 1.08n = -0.586 + 0.00
0.71 + 1.08n = -0.586

Add '-0.71' to each side of the equation.
0.71 + -0.71 + 1.08n = -0.586 + -0.71

Combine like terms: 0.71 + -0.71 = 0.00
0.00 + 1.08n = -0.586 + -0.71
1.08n = -0.586 + -0.71

Combine like terms: -0.586 + -0.71 = -1.296
1.08n = -1.296

Divide each side by '1.08'.
n = -1.2

Simplifying
n = -1.2

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