-3.4+4.2(-5.4n+.8)=92.948

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Solution for -3.4+4.2(-5.4n+.8)=92.948 equation: 


Simplifying
-3.4 + 4.2(-5.4n + 0.8) = 92.948

Reorder the terms:
-3.4 + 4.2(0.8 + -5.4n) = 92.948
-3.4 + (0.8 * 4.2 + -5.4n * 4.2) = 92.948
-3.4 + (3.36 + -22.68n) = 92.948

Combine like terms: -3.4 + 3.36 = -0.04
-0.04 + -22.68n = 92.948

Solving
-0.04 + -22.68n = 92.948

Solving for variable 'n'.

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

Add '0.04' to each side of the equation.
-0.04 + 0.04 + -22.68n = 92.948 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + -22.68n = 92.948 + 0.04
-22.68n = 92.948 + 0.04

Combine like terms: 92.948 + 0.04 = 92.988
-22.68n = 92.988

Divide each side by '-22.68'.
n = -4.1

Simplifying
n = -4.1

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