-11.406-7.5n=3.45-3.9(n+2)

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Solution for -11.406-7.5n=3.45-3.9(n+2) equation: 


Simplifying
-11.406 + -7.5n = 3.45 + -3.9(n + 2)

Reorder the terms:
-11.406 + -7.5n = 3.45 + -3.9(2 + n)
-11.406 + -7.5n = 3.45 + (2 * -3.9 + n * -3.9)
-11.406 + -7.5n = 3.45 + (-7.8 + -3.9n)

Combine like terms: 3.45 + -7.8 = -4.35
-11.406 + -7.5n = -4.35 + -3.9n

Solving
-11.406 + -7.5n = -4.35 + -3.9n

Solving for variable 'n'.

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

Add '3.9n' to each side of the equation.
-11.406 + -7.5n + 3.9n = -4.35 + -3.9n + 3.9n

Combine like terms: -7.5n + 3.9n = -3.6n
-11.406 + -3.6n = -4.35 + -3.9n + 3.9n

Combine like terms: -3.9n + 3.9n = 0.0
-11.406 + -3.6n = -4.35 + 0.0
-11.406 + -3.6n = -4.35

Add '11.406' to each side of the equation.
-11.406 + 11.406 + -3.6n = -4.35 + 11.406

Combine like terms: -11.406 + 11.406 = 0.000
0.000 + -3.6n = -4.35 + 11.406
-3.6n = -4.35 + 11.406

Combine like terms: -4.35 + 11.406 = 7.056
-3.6n = 7.056

Divide each side by '-3.6'.
n = -1.96

Simplifying
n = -1.96

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