14.2=0.5(20n-7.8)

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Solution for 14.2=0.5(20n-7.8) equation: 


Simplifying
14.2 = 0.5(20n + -7.8)

Reorder the terms:
14.2 = 0.5(-7.8 + 20n)
14.2 = (-7.8 * 0.5 + 20n * 0.5)
14.2 = (-3.9 + 10n)

Solving
14.2 = -3.9 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
14.2 + -10n = -3.9 + 10n + -10n

Combine like terms: 10n + -10n = 0
14.2 + -10n = -3.9 + 0
14.2 + -10n = -3.9

Add '-14.2' to each side of the equation.
14.2 + -14.2 + -10n = -3.9 + -14.2

Combine like terms: 14.2 + -14.2 = 0.0
0.0 + -10n = -3.9 + -14.2
-10n = -3.9 + -14.2

Combine like terms: -3.9 + -14.2 = -18.1
-10n = -18.1

Divide each side by '-10'.
n = 1.81

Simplifying
n = 1.81

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