7.8n-2.14=-42.7

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Solution for 7.8n-2.14=-42.7 equation:


Simplifying
7.8n + -2.14 = -42.7

Reorder the terms:
-2.14 + 7.8n = -42.7

Solving
-2.14 + 7.8n = -42.7

Solving for variable 'n'.

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

Add '2.14' to each side of the equation.
-2.14 + 2.14 + 7.8n = -42.7 + 2.14

Combine like terms: -2.14 + 2.14 = 0.00
0.00 + 7.8n = -42.7 + 2.14
7.8n = -42.7 + 2.14

Combine like terms: -42.7 + 2.14 = -40.56
7.8n = -40.56

Divide each side by '7.8'.
n = -5.2

Simplifying
n = -5.2

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