n-2n-6.1=-3(n-3.3)

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Solution for n-2n-6.1=-3(n-3.3) equation: 


Simplifying
n + -2n + -6.1 = -3(n + -3.3)

Reorder the terms:
-6.1 + n + -2n = -3(n + -3.3)

Combine like terms: n + -2n = -1n
-6.1 + -1n = -3(n + -3.3)

Reorder the terms:
-6.1 + -1n = -3(-3.3 + n)
-6.1 + -1n = (-3.3 * -3 + n * -3)
-6.1 + -1n = (9.9 + -3n)

Solving
-6.1 + -1n = 9.9 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-6.1 + -1n + 3n = 9.9 + -3n + 3n

Combine like terms: -1n + 3n = 2n
-6.1 + 2n = 9.9 + -3n + 3n

Combine like terms: -3n + 3n = 0
-6.1 + 2n = 9.9 + 0
-6.1 + 2n = 9.9

Add '6.1' to each side of the equation.
-6.1 + 6.1 + 2n = 9.9 + 6.1

Combine like terms: -6.1 + 6.1 = 0.0
0.0 + 2n = 9.9 + 6.1
2n = 9.9 + 6.1

Combine like terms: 9.9 + 6.1 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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