4.3n-16=2.3n+5.2

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Solution for 4.3n-16=2.3n+5.2 equation:


Simplifying
4.3n + -16 = 2.3n + 5.2

Reorder the terms:
-16 + 4.3n = 2.3n + 5.2

Reorder the terms:
-16 + 4.3n = 5.2 + 2.3n

Solving
-16 + 4.3n = 5.2 + 2.3n

Solving for variable 'n'.

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

Add '-2.3n' to each side of the equation.
-16 + 4.3n + -2.3n = 5.2 + 2.3n + -2.3n

Combine like terms: 4.3n + -2.3n = 2n
-16 + 2n = 5.2 + 2.3n + -2.3n

Combine like terms: 2.3n + -2.3n = 0.0
-16 + 2n = 5.2 + 0.0
-16 + 2n = 5.2

Add '16' to each side of the equation.
-16 + 16 + 2n = 5.2 + 16

Combine like terms: -16 + 16 = 0
0 + 2n = 5.2 + 16
2n = 5.2 + 16

Combine like terms: 5.2 + 16 = 21.2
2n = 21.2

Divide each side by '2'.
n = 10.6

Simplifying
n = 10.6

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