5-.1(n-18)=.8(12n-18)

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Solution for 5-.1(n-18)=.8(12n-18) equation: 


Simplifying
5 + -0.1(n + -18) = 0.8(12n + -18)

Reorder the terms:
5 + -0.1(-18 + n) = 0.8(12n + -18)
5 + (-18 * -0.1 + n * -0.1) = 0.8(12n + -18)
5 + (1.8 + -0.1n) = 0.8(12n + -18)

Combine like terms: 5 + 1.8 = 6.8
6.8 + -0.1n = 0.8(12n + -18)

Reorder the terms:
6.8 + -0.1n = 0.8(-18 + 12n)
6.8 + -0.1n = (-18 * 0.8 + 12n * 0.8)
6.8 + -0.1n = (-14.4 + 9.6n)

Solving
6.8 + -0.1n = -14.4 + 9.6n

Solving for variable 'n'.

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

Add '-9.6n' to each side of the equation.
6.8 + -0.1n + -9.6n = -14.4 + 9.6n + -9.6n

Combine like terms: -0.1n + -9.6n = -9.7n
6.8 + -9.7n = -14.4 + 9.6n + -9.6n

Combine like terms: 9.6n + -9.6n = 0.0
6.8 + -9.7n = -14.4 + 0.0
6.8 + -9.7n = -14.4

Add '-6.8' to each side of the equation.
6.8 + -6.8 + -9.7n = -14.4 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -9.7n = -14.4 + -6.8
-9.7n = -14.4 + -6.8

Combine like terms: -14.4 + -6.8 = -21.2
-9.7n = -21.2

Divide each side by '-9.7'.
n = 2.18556701

Simplifying
n = 2.18556701

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