10-0.6n=0.2(n+14)

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Solution for 10-0.6n=0.2(n+14) equation: 


Simplifying
10 + -0.6n = 0.2(n + 14)

Reorder the terms:
10 + -0.6n = 0.2(14 + n)
10 + -0.6n = (14 * 0.2 + n * 0.2)
10 + -0.6n = (2.8 + 0.2n)

Solving
10 + -0.6n = 2.8 + 0.2n

Solving for variable 'n'.

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

Add '-0.2n' to each side of the equation.
10 + -0.6n + -0.2n = 2.8 + 0.2n + -0.2n

Combine like terms: -0.6n + -0.2n = -0.8n
10 + -0.8n = 2.8 + 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
10 + -0.8n = 2.8 + 0.0
10 + -0.8n = 2.8

Add '-10' to each side of the equation.
10 + -10 + -0.8n = 2.8 + -10

Combine like terms: 10 + -10 = 0
0 + -0.8n = 2.8 + -10
-0.8n = 2.8 + -10

Combine like terms: 2.8 + -10 = -7.2
-0.8n = -7.2

Divide each side by '-0.8'.
n = 9

Simplifying
n = 9

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