.125(n-.5)=.375(n+.357)

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Solution for .125(n-.5)=.375(n+.357) equation:


Simplifying
0.125(n + -0.5) = 0.375(n + 0.357)

Reorder the terms:
0.125(-0.5 + n) = 0.375(n + 0.357)
(-0.5 * 0.125 + n * 0.125) = 0.375(n + 0.357)
(-0.0625 + 0.125n) = 0.375(n + 0.357)

Reorder the terms:
-0.0625 + 0.125n = 0.375(0.357 + n)
-0.0625 + 0.125n = (0.357 * 0.375 + n * 0.375)
-0.0625 + 0.125n = (0.133875 + 0.375n)

Solving
-0.0625 + 0.125n = 0.133875 + 0.375n

Solving for variable 'n'.

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

Add '-0.375n' to each side of the equation.
-0.0625 + 0.125n + -0.375n = 0.133875 + 0.375n + -0.375n

Combine like terms: 0.125n + -0.375n = -0.25n
-0.0625 + -0.25n = 0.133875 + 0.375n + -0.375n

Combine like terms: 0.375n + -0.375n = 0.000
-0.0625 + -0.25n = 0.133875 + 0.000
-0.0625 + -0.25n = 0.133875

Add '0.0625' to each side of the equation.
-0.0625 + 0.0625 + -0.25n = 0.133875 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + -0.25n = 0.133875 + 0.0625
-0.25n = 0.133875 + 0.0625

Combine like terms: 0.133875 + 0.0625 = 0.196375
-0.25n = 0.196375

Divide each side by '-0.25'.
n = -0.7855

Simplifying
n = -0.7855

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