0.4(2n+8)=20-(n+5)

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Solution for 0.4(2n+8)=20-(n+5) equation: 


Simplifying
0.4(2n + 8) = 20 + -1(n + 5)

Reorder the terms:
0.4(8 + 2n) = 20 + -1(n + 5)
(8 * 0.4 + 2n * 0.4) = 20 + -1(n + 5)
(3.2 + 0.8n) = 20 + -1(n + 5)

Reorder the terms:
3.2 + 0.8n = 20 + -1(5 + n)
3.2 + 0.8n = 20 + (5 * -1 + n * -1)
3.2 + 0.8n = 20 + (-5 + -1n)

Combine like terms: 20 + -5 = 15
3.2 + 0.8n = 15 + -1n

Solving
3.2 + 0.8n = 15 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
3.2 + 0.8n + n = 15 + -1n + n

Combine like terms: 0.8n + n = 1.8n
3.2 + 1.8n = 15 + -1n + n

Combine like terms: -1n + n = 0
3.2 + 1.8n = 15 + 0
3.2 + 1.8n = 15

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1.8n = 15 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.8n = 15 + -3.2
1.8n = 15 + -3.2

Combine like terms: 15 + -3.2 = 11.8
1.8n = 11.8

Divide each side by '1.8'.
n = 6.555555556

Simplifying
n = 6.555555556

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