-5.2n-7.694(1-3.1n)=7.3n-46.175246

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Solution for -5.2n-7.694(1-3.1n)=7.3n-46.175246 equation:


Simplifying
-5.2n + -7.694(1 + -3.1n) = 7.3n + -46.175246
-5.2n + (1 * -7.694 + -3.1n * -7.694) = 7.3n + -46.175246
-5.2n + (-7.694 + 23.8514n) = 7.3n + -46.175246

Reorder the terms:
-7.694 + -5.2n + 23.8514n = 7.3n + -46.175246

Combine like terms: -5.2n + 23.8514n = 18.6514n
-7.694 + 18.6514n = 7.3n + -46.175246

Reorder the terms:
-7.694 + 18.6514n = -46.175246 + 7.3n

Solving
-7.694 + 18.6514n = -46.175246 + 7.3n

Solving for variable 'n'.

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

Add '-7.3n' to each side of the equation.
-7.694 + 18.6514n + -7.3n = -46.175246 + 7.3n + -7.3n

Combine like terms: 18.6514n + -7.3n = 11.3514n
-7.694 + 11.3514n = -46.175246 + 7.3n + -7.3n

Combine like terms: 7.3n + -7.3n = 0.0
-7.694 + 11.3514n = -46.175246 + 0.0
-7.694 + 11.3514n = -46.175246

Add '7.694' to each side of the equation.
-7.694 + 7.694 + 11.3514n = -46.175246 + 7.694

Combine like terms: -7.694 + 7.694 = 0.000
0.000 + 11.3514n = -46.175246 + 7.694
11.3514n = -46.175246 + 7.694

Combine like terms: -46.175246 + 7.694 = -38.481246
11.3514n = -38.481246

Divide each side by '11.3514'.
n = -3.39

Simplifying
n = -3.39

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