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

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Solution for 14(0.3n+0.31)=5.18-(0.4-4.22) equation: 


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

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

Combine like terms: 0.4 + -4.22 = -3.82
4.34 + 4.2n = 5.18 + -1(-3.82)

Multiply -1 * -3.82
4.34 + 4.2n = 5.18 + 3.82

Combine like terms: 5.18 + 3.82 = 9
4.34 + 4.2n = 9

Solving
4.34 + 4.2n = 9

Solving for variable 'n'.

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

Add '-4.34' to each side of the equation.
4.34 + -4.34 + 4.2n = 9 + -4.34

Combine like terms: 4.34 + -4.34 = 0.00
0.00 + 4.2n = 9 + -4.34
4.2n = 9 + -4.34

Combine like terms: 9 + -4.34 = 4.66
4.2n = 4.66

Divide each side by '4.2'.
n = 1.10952381

Simplifying
n = 1.10952381

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