-3.8=0.5(8n-4.6)

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Solution for -3.8=0.5(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 = 1.5
-4n = 1.5

Divide each side by '-4'.
n = -0.375

Simplifying
n = -0.375

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