n-2.7n-0.5=-3(n+19)

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Solution for n-2.7n-0.5=-3(n+19) equation: 


Simplifying
n + -2.7n + -0.5 = -3(n + 19)

Reorder the terms:
-0.5 + n + -2.7n = -3(n + 19)

Combine like terms: n + -2.7n = -1.7n
-0.5 + -1.7n = -3(n + 19)

Reorder the terms:
-0.5 + -1.7n = -3(19 + n)
-0.5 + -1.7n = (19 * -3 + n * -3)
-0.5 + -1.7n = (-57 + -3n)

Solving
-0.5 + -1.7n = -57 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-0.5 + -1.7n + 3n = -57 + -3n + 3n

Combine like terms: -1.7n + 3n = 1.3n
-0.5 + 1.3n = -57 + -3n + 3n

Combine like terms: -3n + 3n = 0
-0.5 + 1.3n = -57 + 0
-0.5 + 1.3n = -57

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 1.3n = -57 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.3n = -57 + 0.5
1.3n = -57 + 0.5

Combine like terms: -57 + 0.5 = -56.5
1.3n = -56.5

Divide each side by '1.3'.
n = -43.46153846

Simplifying
n = -43.46153846

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