9.2+52n=4(10n+3.3)

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Solution for 9.2+52n=4(10n+3.3) equation: 


Simplifying
9.2 + 52n = 4(10n + 3.3)

Reorder the terms:
9.2 + 52n = 4(3.3 + 10n)
9.2 + 52n = (3.3 * 4 + 10n * 4)
9.2 + 52n = (13.2 + 40n)

Solving
9.2 + 52n = 13.2 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
9.2 + 52n + -40n = 13.2 + 40n + -40n

Combine like terms: 52n + -40n = 12n
9.2 + 12n = 13.2 + 40n + -40n

Combine like terms: 40n + -40n = 0
9.2 + 12n = 13.2 + 0
9.2 + 12n = 13.2

Add '-9.2' to each side of the equation.
9.2 + -9.2 + 12n = 13.2 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + 12n = 13.2 + -9.2
12n = 13.2 + -9.2

Combine like terms: 13.2 + -9.2 = 4
12n = 4

Divide each side by '12'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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