102.74=-1.4-3.37(-3.5n-2.85)

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Solution for 102.74=-1.4-3.37(-3.5n-2.85) equation: 


Simplifying
102.74 = -1.4 + -3.37(-3.5n + -2.85)

Reorder the terms:
102.74 = -1.4 + -3.37(-2.85 + -3.5n)
102.74 = -1.4 + (-2.85 * -3.37 + -3.5n * -3.37)
102.74 = -1.4 + (9.6045 + 11.795n)

Combine like terms: -1.4 + 9.6045 = 8.2045
102.74 = 8.2045 + 11.795n

Solving
102.74 = 8.2045 + 11.795n

Solving for variable 'n'.

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

Add '-11.795n' to each side of the equation.
102.74 + -11.795n = 8.2045 + 11.795n + -11.795n

Combine like terms: 11.795n + -11.795n = 0.000
102.74 + -11.795n = 8.2045 + 0.000
102.74 + -11.795n = 8.2045

Add '-102.74' to each side of the equation.
102.74 + -102.74 + -11.795n = 8.2045 + -102.74

Combine like terms: 102.74 + -102.74 = 0.00
0.00 + -11.795n = 8.2045 + -102.74
-11.795n = 8.2045 + -102.74

Combine like terms: 8.2045 + -102.74 = -94.5355
-11.795n = -94.5355

Divide each side by '-11.795'.
n = 8.014879186

Simplifying
n = 8.014879186

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