3.8=.5(8n-4.6)

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Solution for 3.8=.5(8n-4.6) equation: 


Simplifying
3.8 = 0.5(8n + -4.6)

Reorder the terms:
3.8 = 0.5(-4.6 + 8n)
3.8 = (-4.6 * 0.5 + 8n * 0.5)
3.8 = (-2.3 + 4n)

Solving
3.8 = -2.3 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
3.8 + -4n = -2.3 + 4n + -4n

Combine like terms: 4n + -4n = 0
3.8 + -4n = -2.3 + 0
3.8 + -4n = -2.3

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -4n = -2.3 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -4n = -2.3 + -3.8
-4n = -2.3 + -3.8

Combine like terms: -2.3 + -3.8 = -6.1
-4n = -6.1

Divide each side by '-4'.
n = 1.525

Simplifying
n = 1.525

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