14(0.3n+0.32)=5.2-(0.5-4.21n)

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Solution for 14(0.3n+0.32)=5.2-(0.5-4.21n) equation: 


Simplifying
14(0.3n + 0.32) = 5.2 + -1(0.5 + -4.21n)

Reorder the terms:
14(0.32 + 0.3n) = 5.2 + -1(0.5 + -4.21n)
(0.32 * 14 + 0.3n * 14) = 5.2 + -1(0.5 + -4.21n)
(4.48 + 4.2n) = 5.2 + -1(0.5 + -4.21n)
4.48 + 4.2n = 5.2 + (0.5 * -1 + -4.21n * -1)
4.48 + 4.2n = 5.2 + (-0.5 + 4.21n)

Combine like terms: 5.2 + -0.5 = 4.7
4.48 + 4.2n = 4.7 + 4.21n

Solving
4.48 + 4.2n = 4.7 + 4.21n

Solving for variable 'n'.

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

Add '-4.21n' to each side of the equation.
4.48 + 4.2n + -4.21n = 4.7 + 4.21n + -4.21n

Combine like terms: 4.2n + -4.21n = -0.01n
4.48 + -0.01n = 4.7 + 4.21n + -4.21n

Combine like terms: 4.21n + -4.21n = 0.00
4.48 + -0.01n = 4.7 + 0.00
4.48 + -0.01n = 4.7

Add '-4.48' to each side of the equation.
4.48 + -4.48 + -0.01n = 4.7 + -4.48

Combine like terms: 4.48 + -4.48 = 0.00
0.00 + -0.01n = 4.7 + -4.48
-0.01n = 4.7 + -4.48

Combine like terms: 4.7 + -4.48 = 0.22
-0.01n = 0.22

Divide each side by '-0.01'.
n = -22

Simplifying
n = -22

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