14.2=0.4(20n-7.8)

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Solution for 14.2=0.4(20n-7.8) equation: 


Simplifying
14.2 = 0.4(20n + -7.8)

Reorder the terms:
14.2 = 0.4(-7.8 + 20n)
14.2 = (-7.8 * 0.4 + 20n * 0.4)
14.2 = (-3.12 + 8n)

Solving
14.2 = -3.12 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
14.2 + -8n = -3.12 + 8n + -8n

Combine like terms: 8n + -8n = 0
14.2 + -8n = -3.12 + 0
14.2 + -8n = -3.12

Add '-14.2' to each side of the equation.
14.2 + -14.2 + -8n = -3.12 + -14.2

Combine like terms: 14.2 + -14.2 = 0.0
0.0 + -8n = -3.12 + -14.2
-8n = -3.12 + -14.2

Combine like terms: -3.12 + -14.2 = -17.32
-8n = -17.32

Divide each side by '-8'.
n = 2.165

Simplifying
n = 2.165

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