9.2-5.7=4.6n-3.6n+0.1

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Solution for 9.2-5.7=4.6n-3.6n+0.1 equation:


Simplifying
9.2 + -5.7 = 4.6n + -3.6n + 0.1

Combine like terms: 9.2 + -5.7 = 3.5
3.5 = 4.6n + -3.6n + 0.1

Reorder the terms:
3.5 = 0.1 + 4.6n + -3.6n

Combine like terms: 4.6n + -3.6n = 1n
3.5 = 0.1 + 1n

Solving
3.5 = 0.1 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
3.5 + -1n = 0.1 + 1n + -1n

Combine like terms: 1n + -1n = 0
3.5 + -1n = 0.1 + 0
3.5 + -1n = 0.1

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -1n = 0.1 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1n = 0.1 + -3.5
-1n = 0.1 + -3.5

Combine like terms: 0.1 + -3.5 = -3.4
-1n = -3.4

Divide each side by '-1'.
n = 3.4

Simplifying
n = 3.4

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