14(0.3n+.31)=5.18-(.4-4.22n)

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Solution for 14(0.3n+.31)=5.18-(.4-4.22n) equation: 


Simplifying
14(0.3n + 0.31) = 5.18 + -1(0.4 + -4.22n)

Reorder the terms:
14(0.31 + 0.3n) = 5.18 + -1(0.4 + -4.22n)
(0.31 * 14 + 0.3n * 14) = 5.18 + -1(0.4 + -4.22n)
(4.34 + 4.2n) = 5.18 + -1(0.4 + -4.22n)
4.34 + 4.2n = 5.18 + (0.4 * -1 + -4.22n * -1)
4.34 + 4.2n = 5.18 + (-0.4 + 4.22n)

Combine like terms: 5.18 + -0.4 = 4.78
4.34 + 4.2n = 4.78 + 4.22n

Solving
4.34 + 4.2n = 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.
4.34 + 4.2n + -4.22n = 4.78 + 4.22n + -4.22n

Combine like terms: 4.2n + -4.22n = -0.02n
4.34 + -0.02n = 4.78 + 4.22n + -4.22n

Combine like terms: 4.22n + -4.22n = 0.00
4.34 + -0.02n = 4.78 + 0.00
4.34 + -0.02n = 4.78

Add '-4.34' to each side of the equation.
4.34 + -4.34 + -0.02n = 4.78 + -4.34

Combine like terms: 4.34 + -4.34 = 0.00
0.00 + -0.02n = 4.78 + -4.34
-0.02n = 4.78 + -4.34

Combine like terms: 4.78 + -4.34 = 0.44
-0.02n = 0.44

Divide each side by '-0.02'.
n = -22

Simplifying
n = -22

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