(0.3n+.31)=5.18-(.4-4.22n)

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Solution for (0.3n+.31)=5.18-(.4-4.22n) equation: 


Simplifying
(0.3n + 0.31) = 5.18 + -1(0.4 + -4.22n)

Reorder the terms:
(0.31 + 0.3n) = 5.18 + -1(0.4 + -4.22n)

Remove parenthesis around (0.31 + 0.3n)
0.31 + 0.3n = 5.18 + -1(0.4 + -4.22n)
0.31 + 0.3n = 5.18 + (0.4 * -1 + -4.22n * -1)
0.31 + 0.3n = 5.18 + (-0.4 + 4.22n)

Combine like terms: 5.18 + -0.4 = 4.78
0.31 + 0.3n = 4.78 + 4.22n

Solving
0.31 + 0.3n = 4.78 + 4.22n

Solving for variable 'n'.

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

Add '-4.22n' to each side of the equation.
0.31 + 0.3n + -4.22n = 4.78 + 4.22n + -4.22n

Combine like terms: 0.3n + -4.22n = -3.92n
0.31 + -3.92n = 4.78 + 4.22n + -4.22n

Combine like terms: 4.22n + -4.22n = 0.00
0.31 + -3.92n = 4.78 + 0.00
0.31 + -3.92n = 4.78

Add '-0.31' to each side of the equation.
0.31 + -0.31 + -3.92n = 4.78 + -0.31

Combine like terms: 0.31 + -0.31 = 0.00
0.00 + -3.92n = 4.78 + -0.31
-3.92n = 4.78 + -0.31

Combine like terms: 4.78 + -0.31 = 4.47
-3.92n = 4.47

Divide each side by '-3.92'.
n = -1.140306122

Simplifying
n = -1.140306122

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