0.6(n-18)=-1.9(n-11)

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Solution for 0.6(n-18)=-1.9(n-11) equation: 


Simplifying
0.6(n + -18) = -1.9(n + -11)

Reorder the terms:
0.6(-18 + n) = -1.9(n + -11)
(-18 * 0.6 + n * 0.6) = -1.9(n + -11)
(-10.8 + 0.6n) = -1.9(n + -11)

Reorder the terms:
-10.8 + 0.6n = -1.9(-11 + n)
-10.8 + 0.6n = (-11 * -1.9 + n * -1.9)
-10.8 + 0.6n = (20.9 + -1.9n)

Solving
-10.8 + 0.6n = 20.9 + -1.9n

Solving for variable 'n'.

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

Add '1.9n' to each side of the equation.
-10.8 + 0.6n + 1.9n = 20.9 + -1.9n + 1.9n

Combine like terms: 0.6n + 1.9n = 2.5n
-10.8 + 2.5n = 20.9 + -1.9n + 1.9n

Combine like terms: -1.9n + 1.9n = 0.0
-10.8 + 2.5n = 20.9 + 0.0
-10.8 + 2.5n = 20.9

Add '10.8' to each side of the equation.
-10.8 + 10.8 + 2.5n = 20.9 + 10.8

Combine like terms: -10.8 + 10.8 = 0.0
0.0 + 2.5n = 20.9 + 10.8
2.5n = 20.9 + 10.8

Combine like terms: 20.9 + 10.8 = 31.7
2.5n = 31.7

Divide each side by '2.5'.
n = 12.68

Simplifying
n = 12.68

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