5.1(3n+2)-6.7=-27.1

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Solution for 5.1(3n+2)-6.7=-27.1 equation: 


Simplifying
5.1(3n + 2) + -6.7 = -27.1

Reorder the terms:
5.1(2 + 3n) + -6.7 = -27.1
(2 * 5.1 + 3n * 5.1) + -6.7 = -27.1
(10.2 + 15.3n) + -6.7 = -27.1

Reorder the terms:
10.2 + -6.7 + 15.3n = -27.1

Combine like terms: 10.2 + -6.7 = 3.5
3.5 + 15.3n = -27.1

Solving
3.5 + 15.3n = -27.1

Solving for variable 'n'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 15.3n = -27.1 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 15.3n = -27.1 + -3.5
15.3n = -27.1 + -3.5

Combine like terms: -27.1 + -3.5 = -30.6
15.3n = -30.6

Divide each side by '15.3'.
n = -2

Simplifying
n = -2

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