0.125(n-0.8)=-0.5(n-0.8)

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Solution for 0.125(n-0.8)=-0.5(n-0.8) equation: 


Simplifying
0.125(n + -0.8) = -0.5(n + -0.8)

Reorder the terms:
0.125(-0.8 + n) = -0.5(n + -0.8)
(-0.8 * 0.125 + n * 0.125) = -0.5(n + -0.8)
(-0.1 + 0.125n) = -0.5(n + -0.8)

Reorder the terms:
-0.1 + 0.125n = -0.5(-0.8 + n)
-0.1 + 0.125n = (-0.8 * -0.5 + n * -0.5)
-0.1 + 0.125n = (0.4 + -0.5n)

Solving
-0.1 + 0.125n = 0.4 + -0.5n

Solving for variable 'n'.

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

Add '0.5n' to each side of the equation.
-0.1 + 0.125n + 0.5n = 0.4 + -0.5n + 0.5n

Combine like terms: 0.125n + 0.5n = 0.625n
-0.1 + 0.625n = 0.4 + -0.5n + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
-0.1 + 0.625n = 0.4 + 0.0
-0.1 + 0.625n = 0.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.625n = 0.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.625n = 0.4 + 0.1
0.625n = 0.4 + 0.1

Combine like terms: 0.4 + 0.1 = 0.5
0.625n = 0.5

Divide each side by '0.625'.
n = 0.8

Simplifying
n = 0.8

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