5.0n+17.5-4n=13(n-2)19.7

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Solution for 5.0n+17.5-4n=13(n-2)19.7 equation:


Simplifying
5.0n + 17.5 + -4n = 13(n + -2) * 19.7

Reorder the terms:
17.5 + 5.0n + -4n = 13(n + -2) * 19.7

Combine like terms: 5.0n + -4n = 1n
17.5 + 1n = 13(n + -2) * 19.7

Reorder the terms:
17.5 + 1n = 13(-2 + n) * 19.7

Reorder the terms for easier multiplication:
17.5 + 1n = 13 * 19.7(-2 + n)

Multiply 13 * 19.7
17.5 + 1n = 256.1(-2 + n)
17.5 + 1n = (-2 * 256.1 + n * 256.1)
17.5 + 1n = (-512.2 + 256.1n)

Solving
17.5 + 1n = -512.2 + 256.1n

Solving for variable 'n'.

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

Add '-256.1n' to each side of the equation.
17.5 + 1n + -256.1n = -512.2 + 256.1n + -256.1n

Combine like terms: 1n + -256.1n = -255.1n
17.5 + -255.1n = -512.2 + 256.1n + -256.1n

Combine like terms: 256.1n + -256.1n = 0.0
17.5 + -255.1n = -512.2 + 0.0
17.5 + -255.1n = -512.2

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -255.1n = -512.2 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -255.1n = -512.2 + -17.5
-255.1n = -512.2 + -17.5

Combine like terms: -512.2 + -17.5 = -529.7
-255.1n = -529.7

Divide each side by '-255.1'.
n = 2.076440612

Simplifying
n = 2.076440612

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