12+8(0.5-0.2n)=4(10+2n)

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Solution for 12+8(0.5-0.2n)=4(10+2n) equation: 


Simplifying
12 + 8(0.5 + -0.2n) = 4(10 + 2n)
12 + (0.5 * 8 + -0.2n * 8) = 4(10 + 2n)
12 + (4 + -1.6n) = 4(10 + 2n)

Combine like terms: 12 + 4 = 16
16 + -1.6n = 4(10 + 2n)
16 + -1.6n = (10 * 4 + 2n * 4)
16 + -1.6n = (40 + 8n)

Solving
16 + -1.6n = 40 + 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.
16 + -1.6n + -8n = 40 + 8n + -8n

Combine like terms: -1.6n + -8n = -9.6n
16 + -9.6n = 40 + 8n + -8n

Combine like terms: 8n + -8n = 0
16 + -9.6n = 40 + 0
16 + -9.6n = 40

Add '-16' to each side of the equation.
16 + -16 + -9.6n = 40 + -16

Combine like terms: 16 + -16 = 0
0 + -9.6n = 40 + -16
-9.6n = 40 + -16

Combine like terms: 40 + -16 = 24
-9.6n = 24

Divide each side by '-9.6'.
n = -2.5

Simplifying
n = -2.5

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