0.2(2n+6)=0.5(8n-10)

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Solution for 0.2(2n+6)=0.5(8n-10) equation: 


Simplifying
0.2(2n + 6) = 0.5(8n + -10)

Reorder the terms:
0.2(6 + 2n) = 0.5(8n + -10)
(6 * 0.2 + 2n * 0.2) = 0.5(8n + -10)
(1.2 + 0.4n) = 0.5(8n + -10)

Reorder the terms:
1.2 + 0.4n = 0.5(-10 + 8n)
1.2 + 0.4n = (-10 * 0.5 + 8n * 0.5)
1.2 + 0.4n = (-5 + 4n)

Solving
1.2 + 0.4n = -5 + 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.
1.2 + 0.4n + -4n = -5 + 4n + -4n

Combine like terms: 0.4n + -4n = -3.6n
1.2 + -3.6n = -5 + 4n + -4n

Combine like terms: 4n + -4n = 0
1.2 + -3.6n = -5 + 0
1.2 + -3.6n = -5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -3.6n = -5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -3.6n = -5 + -1.2
-3.6n = -5 + -1.2

Combine like terms: -5 + -1.2 = -6.2
-3.6n = -6.2

Divide each side by '-3.6'.
n = 1.722222222

Simplifying
n = 1.722222222

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