32.06-6.9n=-2.1(n-2.1)-8.3n

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Solution for 32.06-6.9n=-2.1(n-2.1)-8.3n equation: 


Simplifying
32.06 + -6.9n = -2.1(n + -2.1) + -8.3n

Reorder the terms:
32.06 + -6.9n = -2.1(-2.1 + n) + -8.3n
32.06 + -6.9n = (-2.1 * -2.1 + n * -2.1) + -8.3n
32.06 + -6.9n = (4.41 + -2.1n) + -8.3n

Combine like terms: -2.1n + -8.3n = -10.4n
32.06 + -6.9n = 4.41 + -10.4n

Solving
32.06 + -6.9n = 4.41 + -10.4n

Solving for variable 'n'.

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

Add '10.4n' to each side of the equation.
32.06 + -6.9n + 10.4n = 4.41 + -10.4n + 10.4n

Combine like terms: -6.9n + 10.4n = 3.5n
32.06 + 3.5n = 4.41 + -10.4n + 10.4n

Combine like terms: -10.4n + 10.4n = 0.0
32.06 + 3.5n = 4.41 + 0.0
32.06 + 3.5n = 4.41

Add '-32.06' to each side of the equation.
32.06 + -32.06 + 3.5n = 4.41 + -32.06

Combine like terms: 32.06 + -32.06 = 0.00
0.00 + 3.5n = 4.41 + -32.06
3.5n = 4.41 + -32.06

Combine like terms: 4.41 + -32.06 = -27.65
3.5n = -27.65

Divide each side by '3.5'.
n = -7.9

Simplifying
n = -7.9

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