2.4(n-3)+3.8=-8.2

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Solution for 2.4(n-3)+3.8=-8.2 equation: 


Simplifying
2.4(n + -3) + 3.8 = -8.2

Reorder the terms:
2.4(-3 + n) + 3.8 = -8.2
(-3 * 2.4 + n * 2.4) + 3.8 = -8.2
(-7.2 + 2.4n) + 3.8 = -8.2

Reorder the terms:
-7.2 + 3.8 + 2.4n = -8.2

Combine like terms: -7.2 + 3.8 = -3.4
-3.4 + 2.4n = -8.2

Solving
-3.4 + 2.4n = -8.2

Solving for variable 'n'.

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

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 2.4n = -8.2 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 2.4n = -8.2 + 3.4
2.4n = -8.2 + 3.4

Combine like terms: -8.2 + 3.4 = -4.8
2.4n = -4.8

Divide each side by '2.4'.
n = -2

Simplifying
n = -2

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